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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20231208T120000
DTEND;TZID=America/New_York:20231208T130000
DTSTAMP:20260503T163901
CREATED:20240227T112413Z
LAST-MODIFIED:20240227T112426Z
UID:10002877-1702036800-1702040400@cmsa.fas.harvard.edu
SUMMARY:Open Problems in Physics and Novel Solutions from Math
DESCRIPTION:Member Seminar \nSpeaker: Juven Wang \nTitle: Open Problems in Physics and Novel Solutions from Math \n  \nAbstract: (1) How do neutrinos obtain tiny mass and oscillate between e\, \mu\, \tau three flavors? What consists of Dark Matter? What causes leptogenesis and baryogenesis? \n(2) Why the Parity Symmetry is violated in the weak interaction? How do we quantum mechanically regularize and numerically simulate the Standard Model (chiral fermion/gauge theory) on the lattice in 3+1 spacetime dimensions? \n(3) Strong CP problem: Why is the neutron electric dipole moment nearly zero and QCD respects the CP = T symmetry? \n(4) Family/Generation problem: Why are there three families/generations of quarks and leptons? \nIn my talk\, I will sketch and propose novel solutions to these challenging open problems in physics based on my own work (available on arXiv\, some jointly with my collaborators). \nI will show that the eclectic cross-disciplinary fertilization of ideas between the Math-Physics geometry and topology\, Quantum Condensed Matter\, and High-Energy Physics (theory\, pheno\, lattice) can help solving these big problems. \nThe (1) answer relates to Ultra Unification: a Z_{16} class Atiyah-Patodi-Singer eta invariant (Baryon – Lepton)-protected topological superconductor and a symmetry-extended anomalous topological quantum field theory. \nThe (2) and (3) answers relate to a trivial cobordism class and Symmetric Mass Generation\, and disordering and removing the Pecci-Quinn axions. \nThe (4) answer has to do with the Hirzebruch signature and Atiyah-Singer index theorem\, gravitational Chern-Simons theory\, and 3 E8 quantum Hall states. \n 
URL:https://cmsa.fas.harvard.edu/event/member-seminar-12823/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Member Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20231208T143000
DTEND;TZID=America/New_York:20231208T160000
DTSTAMP:20260503T163901
CREATED:20240221T100009Z
LAST-MODIFIED:20240221T100109Z
UID:10002772-1702045800-1702051200@cmsa.fas.harvard.edu
SUMMARY:Fermi surface symmetric mass generation and its application in nickelate superconductor
DESCRIPTION:Joint Quantum Matter in Mathematics and Physics & Topological Quantum Matter Seminar \nSpeaker: Da-Chuan Lu (UCSD) \nTitle: Fermi surface symmetric mass generation and its application in nickelate superconductor \nAbstract: Symmetric mass generation (SMG) is a novel interaction-driven mechanism that generates fermion mass without breaking symmetry\, unlike the standard Anderson-Higgs mechanism. SMG can occur in the fermion system without quantum anomalies. In this talk\, I will focus on the SMG for the systems with finite fermion density\, i.e.\, the Fermi surface. I will discuss the Fermi surface anomaly and Fermi surface SMG. Lastly\, I will talk about its application in the newly found nickelate superconductors\, where the superconductivity emerges without a nearby spontaneous symmetry-breaking phase.
URL:https://cmsa.fas.harvard.edu/event/qm_12823/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Quantum-Matter_String-Seminar-12.08.2023.docx-2.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20231211T103000
DTEND;TZID=America/New_York:20231211T113000
DTSTAMP:20260503T163901
CREATED:20240221T112820Z
LAST-MODIFIED:20240221T112900Z
UID:10002782-1702290600-1702294200@cmsa.fas.harvard.edu
SUMMARY:M-theory on nodal Calabi-Yau 3-folds and torsion refined GV-invariants
DESCRIPTION:Algebraic Geometry in String Theory Seminar \nSpeaker: Thorsten Schimannek (Utrecht University) \n\nTitle: M-theory on nodal Calabi-Yau 3-folds and torsion refined GV-invariants \nAbstract: The physics of M-theory and Type IIA strings on a projective nodal CY 3-folds is determined by the geometry of a small resolution\, even if the latter is not Kähler. We will demonstrate this explicitly in the context of a family of Calabi-Yau double covers of P^3. Using conifold transitions\, we prove that the exceptional curves in any small resolution are torsion while M-theory develops a discrete gauge symmetry.This leads to a torsion refinement of the ordinary Gopakumar-Vafa invariants\, that is associated to the singular Calabi-Yau and captures the enumerative geometry of the non-Kähler resolutions. We further argue that twisted circle compactifications of the 5d theory are dual to IIA compactifications on the nodal CY 3-fold with a flat but topologically non-trivial B-field. As a result\, the torsion refined invariants are encoded in the topological string partition functions with different choices for the global topology of a flat B-field. \nThe talk is based on 2108.09311\, 2212.08655 (with S. Katz\, A. Klemm\, and E. Sharpe) and 2307.00047 (with S. Katz).
URL:https://cmsa.fas.harvard.edu/event/agst-121123/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Algebraic Geometry in String Theory Seminar
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/CMSA-Algebraic-Geometry-in-String-Theory-12.11.2023-scaled.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20231211T163000
DTEND;TZID=America/New_York:20231211T173000
DTSTAMP:20260503T163901
CREATED:20240223T074431Z
LAST-MODIFIED:20240223T074431Z
UID:10002828-1702312200-1702315800@cmsa.fas.harvard.edu
SUMMARY:Homology\, higher derived limits\, and set theory
DESCRIPTION:Colloquium \nSpeaker: Justin Moore (Cornell University) \nTitle: Homology\, higher derived limits\, and set theory \nAbstract: Singular homology has a number of well-known defects when used to study spaces such as the Hawaiian earring and solenoids. It may not reflect the “shape” of the space and can give counterintuitive information about its dimension. One remedy of this is to develop a homology theory based on approximating spaces by polyhedra\, computing their homologies\, and then taking a limit. This is the approach taken by Steenrod-Sitnikov homology and Lisica and Mardesic’s strong homology. Even within the class of locally compact second countable spaces though\, the properties of these homology theories — and the higher derived limits which underly them — are dependent on axioms of set theory beyond ZFC. Recently it was shown that it is consistent with (and therefore independent of) ZFC that strong homology and Steenrod Sitnikov homology coincide in the class of locally compact second countable spaces — and therefore each of these homology theories enjoys the desirable properties of the other. These results also point to how we might develop variants of these homology theories which enjoy their desirable properties\, but which are less sensitive to set theory. This is joint work with Nathaniel Bannister\, Jeff Bergfalk\, and Stevo Todorcevic.
URL:https://cmsa.fas.harvard.edu/event/colloquium-121123/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Colloquium
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Colloquium-12.11.2023.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20231214T143000
DTEND;TZID=America/New_York:20231214T160000
DTSTAMP:20260503T163901
CREATED:20240109T001602Z
LAST-MODIFIED:20240109T001934Z
UID:10001133-1702564200-1702569600@cmsa.fas.harvard.edu
SUMMARY:When does a three-dimensions Chern-Simons theory have a time reversal symmetry?
DESCRIPTION:Speaker: Roman Geiko (UCLA) \nTitle: When does a three-dimensions Chern-Simons theory have a time reversal symmetry? \nIn this talk\, I will discuss the time reversal invariance of (spin-) Chern-Simons theory in 3 dimensions at both classical and quantum levels. I will show how to obtain a complete classification of Abelian anyons with the time reversal symmetry expressed in terms of the higher Gauss sums. Then\, I will comment on the time reversal symmetry of Chern-Simons in the non-Abelian case.
URL:https://cmsa.fas.harvard.edu/event/qm_121423/
LOCATION:Virtual
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-12.14.2023.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20231215T100000
DTEND;TZID=America/New_York:20231215T113000
DTSTAMP:20260503T163901
CREATED:20240222T093357Z
LAST-MODIFIED:20240222T093357Z
UID:10002796-1702634400-1702639800@cmsa.fas.harvard.edu
SUMMARY:Exact lattice chiral symmetry in 2d gauge theory
DESCRIPTION:Quantum Matter Seminar \nSpeaker: Aleksey Cherman (UMN) \nTitle: Exact lattice chiral symmetry in 2d gauge theory \nAbstract: Preserving the symmetries of massless fermions is a well-known challenge in lattice field theory.  I’ll discuss symmetry-preserving lattice regularizations of 2d QED with one and two flavors of Dirac fermions\, as well as the `3450′ chiral gauge theory. The construction leverages bosonization and recently-proposed modifications of Villain-type lattice actions. The internal global symmetries act just as locally on the lattice as they do in the continuum\, the anomalies are reproduced at finite lattice spacing\, and in each case we’ve found a sign-problem-free dual formulation.
URL:https://cmsa.fas.harvard.edu/event/qm_121523/
LOCATION:Virtual
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-12.15.23.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20231215T120000
DTEND;TZID=America/New_York:20231215T130000
DTSTAMP:20260503T163901
CREATED:20240227T111152Z
LAST-MODIFIED:20240227T111152Z
UID:10002876-1702641600-1702645200@cmsa.fas.harvard.edu
SUMMARY:On compactness phenomena
DESCRIPTION:Member Seminar \nSpeaker: Alejandro Poveda \nTitle: On compactness phenomena \nAbstract: In this presentation I shall be preoccupied with compactness phenomena in set theory. Compactness is the phenomenon by which the local properties of a mathematical structure determine its global behavior. This phenomenon is intrinsic to the very architecture of the mathematical universe and manifests to us in a cornucopia of forms. Over the past fifty years\, the study of compactness phenomena has been a cornerstone of research in set theory. This talk will present recent discoveries regarding compactness principles\, spanning classical themes like the tree property and stationary reflection\, while also forging novel connections with other topics\, such as Woodin’s HOD Conjecture.
URL:https://cmsa.fas.harvard.edu/event/member-seminar-121523/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Member Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240124T140000
DTEND;TZID=America/New_York:20240124T150000
DTSTAMP:20260503T163901
CREATED:20240102T163450Z
LAST-MODIFIED:20240125T165049Z
UID:10000148-1706104800-1706108400@cmsa.fas.harvard.edu
SUMMARY:Approaches to the formalization of differential geometry
DESCRIPTION:New Technologies in Mathematics Seminar \nSpeaker: Heather Macbeth\, Fordham University \nTitle: Approaches to the formalization of differential geometry \nAbstract: In the last five years\, there has been early work on the computer formalization of differential geometry. I will survey the projects I am aware of. I will also describe two projects of my own\, as case studies for typical challenges. The first (joint with Floris van Doorn) is an exercise in developing suitable abstractions\, the second (joint with Mario Carneiro) is an exercise in developing suitable automation.
URL:https://cmsa.fas.harvard.edu/event/nt-12424/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:New Technologies in Mathematics Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-NTM-Seminar-01.24.2024.docx-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240126T093000
DTEND;TZID=America/New_York:20240126T110000
DTSTAMP:20260503T163901
CREATED:20240118T143433Z
LAST-MODIFIED:20240118T192034Z
UID:10000860-1706261400-1706266800@cmsa.fas.harvard.edu
SUMMARY:Gauging spacetime inversions
DESCRIPTION:Quantum Matter in Mathematics and Physics Seminar \nSpeaker: Daniel Harlow (MIT) \nTitle: Gauging spacetime inversions \nAbstract: Spacetime inversion symmetries such as parity and time reversal play a central role in physics\, but they are usually treated as global symmetries. In quantum gravity there are no global symmetries\, so any spacetime inversion symmetries must be gauge symmetries. In particular this includes CRT symmetry (in even dimensions usually combined with a rotation to become CPT)\, which in quantum field theory is always a symmetry and seems likely to be a symmetry of quantum gravity as well. I’ll discuss what it means to gauge a spacetime inversion symmetry\, and explain some of the more unusual consequences of doing this. In particular I’ll argue that the gauging of CRT is automatically implemented by the sum over topologies in the Euclidean gravity path integral\, that in a closed universe the Hilbert space of quantum gravity must be a real vector space\, and that in Lorentzian signature manifolds which are not time-orientable must be included as valid configurations of the theory.
URL:https://cmsa.fas.harvard.edu/event/qm-2/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-01.26.23.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240126T120000
DTEND;TZID=America/New_York:20240126T130000
DTSTAMP:20260503T163901
CREATED:20240102T203315Z
LAST-MODIFIED:20240125T174129Z
UID:10000803-1706270400-1706274000@cmsa.fas.harvard.edu
SUMMARY:Anti-Iitaka conjecture in positive characteristic
DESCRIPTION:CMSA Member Seminar \nSpeaker: Iacopo Brivio (Harvard) \nTitle: Anti-Iitaka conjecture in positive characteristic \nAbstract: Given a smooth projective variety\, its Kodaira dimension kappa(K_X) is an important invariant that measures the rate of growth of m-pluricanonical forms as a function of m. It serves as an higher-dimensional generalization of the genus of a Riemann surface. If f : X –> Y is a fibration with general fiber F\, a famous conjecture of Iitaka predicts the inequality kappa(K_X) \geq kappa(K_Y) + kappa(K_F). More recently it was shown by Chang that\, if the stable base locus of -K_X is vertical\, then the inequality kappa(-K_X) \leq kappa(-K_Y) + kappa(-K_F) holds. Both Iitaka’s conjecture and Chang’s theorem are known to fail in positive characteristic. In this talk I will explain how one can recover Chang’s theorem for a class of “tame” fibrations in characteristic p > 0. This is based on joint work with M. Benozzo and C.-K. Chang.
URL:https://cmsa.fas.harvard.edu/event/member-seminar-12624/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Member Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Member-Seminar-01.26.24.docx-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240126T160000
DTEND;TZID=America/New_York:20240126T180000
DTSTAMP:20260503T163901
CREATED:20240103T210013Z
LAST-MODIFIED:20240222T054337Z
UID:10001109-1706284800-1706292000@cmsa.fas.harvard.edu
SUMMARY:CMSA/MATH Bi-Annual Gathering
DESCRIPTION:On Friday\, Jan. 26\, 2024 the CMSA will host the CMSA/MATH Bi-Annual Gathering for Harvard CMSA and Math affiliates in the CMSA Common Room at 20 Garden Street\, Cambridge MA 02138.
URL:https://cmsa.fas.harvard.edu/event/cmsa-math_2924/
LOCATION:Common Room\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Event
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240130T110000
DTEND;TZID=America/New_York:20240130T120000
DTSTAMP:20260503T163901
CREATED:20240126T184234Z
LAST-MODIFIED:20240813T154857Z
UID:10000822-1706612400-1706616000@cmsa.fas.harvard.edu
SUMMARY:A quasi-local mass in general relativity
DESCRIPTION:General Relativity Seminar \nSpeaker: Aghil Alaee\, Clark University \nTitle: A quasi-local mass in general relativity \nAbstract: In this talk\, we define a new gauge-independent quasi-local mass and energy with respect to the Minkowski spacetime. In contrast to other quasi-local masses\, this new quasi-local mass/energy has a quasi-local proof of positivity. This positivity property is for spacelike surfaces with any topology.  Moreover\, we show that it has desired asymptotic behaviors at null and spatial infinity of asymptotically flat spacetimes. Rigidity is also established in that vanishing energy implies that the 2-surface arises from an embedding into Minkowski space\, and conversely\, the mass vanishes for any such surface. This is joint work with M. Khuri and S.T. Yau. \n 
URL:https://cmsa.fas.harvard.edu/event/general-relativity-seminar-13024/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:General Relativity Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-GR-Seminar-01.30.2024.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240201T103000
DTEND;TZID=America/New_York:20240201T113000
DTSTAMP:20260503T163901
CREATED:20240119T213407Z
LAST-MODIFIED:20240122T183212Z
UID:10000876-1706783400-1706787000@cmsa.fas.harvard.edu
SUMMARY:Algebraic billiards and dynamical degrees
DESCRIPTION:Algebraic Geometry in String Theory Seminar \nSpeaker: Max Weinreich (Harvard) \nTitle: Algebraic billiards and dynamical degrees \nAbstract: Billiards is one of the most-studied dynamical systems\, modeling the behavior of a point particle bouncing around some space. If the space is a plane region bounded by an algebraic curve\, then we may use techniques from algebraic geometry to study its billiards map. We explain how to view billiards as a complex algebraic correspondence\, and we prove upper and lower bounds on the dynamical degree\, the growth rate of the degrees of the iterates\, in terms of the degree of the boundary curve. These degree growth rates are studied in mathematical physics\, broadly speaking\, as a way to identify integrable (exactly solvable) physical models. In our setting\, this theory gives us an upper bound on the entropy\, or chaos\, of billiards in curves.
URL:https://cmsa.fas.harvard.edu/event/agst-2124/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Algebraic Geometry in String Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/Algebraic-Geometry-in-String-Theory-02.01.2024_Page_1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240202T100000
DTEND;TZID=America/New_York:20240202T113000
DTSTAMP:20260503T163901
CREATED:20240129T153031Z
LAST-MODIFIED:20240130T205926Z
UID:10001318-1706868000-1706873400@cmsa.fas.harvard.edu
SUMMARY:Quantum Circuits to local Hamiltonian: role in quantum complexity and new constructions 
DESCRIPTION:Quantum Matter in Mathematics and Physics Seminar \nSpeaker: Anurag Anshu (Harvard) \nTitle: Quantum Circuits to local Hamiltonian: role in quantum complexity and new constructions \nAbstract: At the heart of the theory of NP completeness lies a mapping from classical circuits to constraint satisfaction problems (classical local Hamiltonians). \nThe quantum analogue of this is the remarkable history state construction of Kitaev (building upon Feynman’s work). This talk will provide an introduction to this mapping and its crucial role in bridging quantum computer science and quantum many-body physics research. Then\, we will describe a new mapping using tensor networks and quantum fault tolerance (https://arxiv.org/abs/2309.16475). Time permitting\, we will discuss the relevance of this mapping to the quantum PCP conjecture.
URL:https://cmsa.fas.harvard.edu/event/qm_2224/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-02.02.24.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240202T120000
DTEND;TZID=America/New_York:20240202T130000
DTSTAMP:20260503T163901
CREATED:20240123T192516Z
LAST-MODIFIED:20240201T171531Z
UID:10000667-1706875200-1706878800@cmsa.fas.harvard.edu
SUMMARY:On complete Calabi-Yau metrics and Monge-Ampere equations
DESCRIPTION:CMSA Member Seminar \nSpeaker: Freid Tong (Harvard CMSA) \nTitle: On complete Calabi-Yau metrics and Monge-Ampere equations \nAbstract: Calabi-Yau metrics are central objects in K\”ahler geometry and also string theory. The existence of Calabi-Yau metrics on compact manifolds was answered by Yau in his solution of the Calabi conjecture\, but the situation in the non-compact setting is much more delicate\, and many questions related to the existence and uniqueness of non-compact Calabi-Yau metrics remain unanswered. I will give an introduction to this subject and discuss some ongoing joint work with T. Collins and S.-T. Yau\, on a new relationship between complete Calabi-Yau metrics and a new Monge-Ampere equation.
URL:https://cmsa.fas.harvard.edu/event/member-seminar-2224/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Member Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Member-Seminar_2224.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240205T090000
DTEND;TZID=America/New_York:20240329T170000
DTSTAMP:20260503T163901
CREATED:20240103T173754Z
LAST-MODIFIED:20240624T182151Z
UID:10001104-1707123600-1711731600@cmsa.fas.harvard.edu
SUMMARY:Arithmetic Quantum Field Theory Program
DESCRIPTION:Arithmetic Quantum Field Theory Program\nDates: Feb. 5–Mar. 29\, 2024 \nLocation: Harvard CMSA\, 20 Garden Street\, Cambridge MA 02138 \nArithmetic Quantum Field Theory Program Youtube Playlist \nOrganizers: \n\nDavid Ben-Zvi (University of Texas Austin)\nSolomon Friedberg (Boston College)\nNatalie Paquette (University of Washington Seattle)\nBrian Williams (Boston University)\n\nThis program features a weekly seminar series\, workshops\, and a conference. \nThe object of the program is to develop and disseminate exciting new connections emerging between quantum field theory and algebraic number theory\, and in particular between the fundamental invariants of each: partition functions and L-functions. \nOn one hand\, there has been tremendous progress in the past decade in our understanding of the algebraic structures underlying quantum field theory as expressed in terms of the geometry and topology of low-dimensional manifolds\, both on the level of states (via the Atiyah-Segal / Baez-Dolan / Lurie formalism of extended\, functorial field theory) and on the level of observables (via the Beilinson–Drinfeld / Costello–Gwilliam formalism of factorization algebras). On the other hand\, Weil’s Rosetta Stone and the Mazur–Morishita–Kapranov–Reznikov arithmetic topology (the “knots and primes” dictionary) provide a sturdy bridge between the topology of 2- and 3-manifolds and the arithmetic of number fields. Thus\, one can now port over quantum field theoretic ideas to number theory\, as first proposed by Minhyong Kim with his arithmetic counterpart of Chern-Simons theory. Most recently\, the work of Ben-Zvi–Sakellaridis–Venkatesh applies an understanding of the Langlands program as an arithmetic avatar of electric-magnetic duality in four-dimensional gauge theory to reveal a hidden quantum mechanical nature of the theory of $L$-functions. \nThe program will bring together a wide range of mathematicians and physicists working on adjacent areas to explore the emerging notion of arithmetic quantum field theory as a tool to bring quantum physics to bear on questions of interest for the theory of automorphic forms\, harmonic analysis and L-functions. Conversely\, we will explore potential geometric and physical consequences of arithmetic ideas\, for example\, the Langlands correspondence theory of L-functions for 3-manifolds. \n\nSchedule \nThe first week of the program will feature several lecture series aimed at a broad local community of mathematicians and physicists\, aiming to introduce the main ideas underlying our program and help establish a common reference point. \nThe program will host a weekly seminar series on Fridays. \nThe speakers will be selected with the aim of covering a wide panorama of the subjects over the course of the program. \nThe program will conclude with a week-long Conference on Arithmetic Quantum Field Theory March 25–29\, 2024. \n\nAQFT Youtube Playlist \nLecture series \nAll lectures take place in Room G10\, Harvard CMSA\, 20 Garden Street Cambridge. \nWeek 1: Feb. 5–9\, 2024 \nAbstract: In this lecture series we will introduce some of the themes underlying the CMSA program on Arithmetic Quantum Field Theory taking place this winter and the upcoming conference March 25-29\, 2024. \nSome of the themes we plan to discuss include: \nStructures in QFT (like factorization for observables and functorial QFT for states and their relation to geometric / deformation quantization) that are sufficiently algebraic and formal to allow for arithmetic analogs. \nThe setup of arithmetic topology as a bridge between the background of QFT to that of arithmetic (both “global” and “local”)\, including the “middle realm” of positive characteristic function fields. \nQuestions and structures in arithmetic that have been / might be amenable to inspiration from QFT\, in particular the theory of L-functions and the Langlands program. \nSchedule \n\n\n\nMonday\, Feb. 5\, 2024\n \n \n\n\n11:00 am – 12:00 pm\n Minhyong Kim\nArithmetic topology and field theory\nVideo\n(Slides part 1 pdf)\n\n\n1:30 – 2:30 pm\nBrian Williams\nAlgebraic quantum field theory\nVideo\n(Lecture Notes)\n\n\n2:30 – 3:30 pm\nDavid Ben-Zvi\nThe Langlands program via arithmetic QFT\nVideo\n\n\nWednesday\, Feb. 7\, 2024\n \n \n\n\n11:00 am – 12:00 pm\nMinhyong Kim\nArithmetic topology and field theory\nVideo\n(Slides part 2 pdf)\n\n\n2:30 – 3:30 pm\nBrian Williams\nAlgebraic quantum field theory\nVideo\n(Lecture Notes)\n\n\nThursday\, Feb.8\, 2024\n \n \n\n\n2:30 – 3:30 pm\nMinhyong Kim\nArithmetic topology and field theory\nVideo\n(Slides part 3 pdf)\n\n\n4:00 – 5:00 pm\nDavid Ben-Zvi\nThe Langlands program via arithmetic QFT\nVideo\n\n\nFriday\, Feb. 9\, 2024\n \n \n\n\n1:00 – 2:00 pm\nBrian Williams\nAlgebraic quantum field theory\nVideo\n(Lecture Notes)\n\n\n2:00 – 3:00 pm\nDavid Ben-Zvi\nThe Langlands program via arithmetic QFT 1\nVideo\n\n\n3:30 – 4:30 pm\nDavid Ben-Zvi\nThe Langlands program via arithmetic QFT 2\nVideo\n\n\nMonday\, Feb. 26\, 2024\n\n\n\n\n1:00 – 2:00 pm\nOmer Offen (Brandeis)\nPeriod integrals of automorphic forms and the residue method\nVideo\n\n\nTuesday\, Feb. 27\, 2024\n\n\n\n\n2:00 – 3:00 pm\nWei Zhang (MIT)\nShtuka special cycles and their generating series\nVideo\n\n\nFriday\, March 1\, 2024\n\n\n\n\n11:00 am – 12:00 pm\nChen Wan (Rutgers Newark)\nSome examples of the relative Langlands duality\nVideo\n\n\n2:00 – 3:00 pm\nPeng Shan (Tsinghua)\nSkein algebras and quantized Coulomb branches\nVideo\n\n\nThursday\, March 7\, 2024\n\n\n\n\n1:30 – 2:30 pm\nAn Huang (Brandeis)\nTate’s thesis and p-adic strings\nVideo\n\n\n3:00 – 4:00 pm\nJohn Francis (Northwestern)\nIntegrating braided categories over 3-manifolds\nVideo\n\n\nFriday\, March 8\, 2024\n\n\n\n\n1:00 – 2:00 pm\nDihua Jiang (U Minnesota)\nShalika Periods: Functoriality and Arithmetic\nVideo\n\n\nFriday\, March 15\, 2024\n\n\n\n\n11:45 – 1:00 pm\nBaiying Liu (Purdue)\nRecent progress on certain problems related to local Arthur packets of classical groups\nVideo\n\n\n2:15 – 3:30 pm\nTasho Kaletha (Michigan)\nCovers of reductive groups and functoriality\nVideo\n\n\nMonday\, March 18\, 2024\n\n\n\n\n1:00 – 3:00 pm\nXinwen Zhu (Stanford)\nThe tame categorical local Langlands correspondence\nVideo\n\n\n4:30 – 5:30 pm\nNatalie Paquette (U Washington)\nKoszul duality & twisted holography for asymptotically flat spacetimes\n\n\nWednesday\, March 20\, 2024\n\n\n\n\n11:00 – 12:15 pm\nStephen D. Miller (Rutgers)\nWhat 4-graviton scattering amplitudes had to say about the unitary dual\n\n\nFriday\, March 22\, 2024\n\n\n\n\n1:45 – 3:00 pm\nJayce Getz (Duke)\nThe Poisson summation conjecture and the fiber bundle method\nVideo\n\n\n\n\n\n\n\n\n\nProgram Visitors \n\nMina Aganagic\, University of California\, Berkeley\nAnne-Marie Aubert\, Institut de Mathématiques de Jussieu-Paris Rive Gauche\, March 15-29\nClark Barwick\, University of Edinburgh\, February 19-March 15\nAlexander Braverman\, Perimeter Institute\nAlejandra Castro\, Cambridge University\, March 25-29\nYoungJu Choie\, Pohang University of Science and Technology\, February 12-16; March 22-28\nJohn Francis\, Northwestern University\, March 1-14\nDavid Gaiotto\, Perimeter Institute\, March 25-29\nJayce Getz\, Duke University\, March 18-22\nEzra Getzler\, Northwestern University\, March 11-22\nSam Gunningham\, Montana State University\, February 9-12\nSarah Harrison\, Northeastern University\nDihua Jiang\, University of Minnesota\, February 29-March 9\nTasho Kaletha\, University of Michigan\, March 12-20\nMinhyong Kim\, University of Edinburgh\, February 1-29\nAxel Kleinschmidt\, Max Planck Institute for Gravitational Physics\, Potsdam\, March 18-28\nKim Klinger-Logan\, Kansas State University\, March 25-29\nKobi Kremnitzer\, Oxford University\, March 25-29\n\nBaiying Liu\, Purdue University\, March 13-16\n\n\nSteven Miller\, Rutgers University\n\nGreg Moore\, Rutgers University\, February 5-9\nDavid Nadler\, University of California\, Berkeley\, March 17-30\nBảo Châu Ngô\, University of Chicago\, March 25-29\nGeorge Pappas\, Michigan State University\, March 25-29\nDaniel Persson\, Chalmers Institute of Technology\, March 25-29\nSam Raskin\, Yale University\, March 26-29\nYiannis Sakellaridis\, Johns Hopkins University\, March 18-22\nPeng Shan\, Tsinghua University\, February 12-April 14\nAkshay Venkatesh\, Institute for Advanced Study\nRoberto Volpato\, University of Padova\, February 4-10\nChen Wan\, Rutgers University\, February 29-March 9\nFei Yan\, Brookhaven National Laboratory\, March 18-29\nXinwen Zhu\, Stanford University\n\n  \n 
URL:https://cmsa.fas.harvard.edu/event/aqft2024/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Event,Programs
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/Poster_AQFT-Program_letter-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240205T110000
DTEND;TZID=America/New_York:20240205T120000
DTSTAMP:20260503T163901
CREATED:20240125T171625Z
LAST-MODIFIED:20240215T214244Z
UID:10001351-1707130800-1707134400@cmsa.fas.harvard.edu
SUMMARY:AQFT Lecture Series | Minhyong Kim
DESCRIPTION:Arithmetic Quantum Field Theory Program Lecture Series\nSpeaker: Minhyong Kim\, University of Edinburgh \nTopic: Arithmetic topology and field theory \nAbstract: The setup of arithmetic topology as a bridge between the background of QFT to that of arithmetic (both “global” and “local”)\, including the “middle realm” of positive characteristic function fields. \nSlides (pdf)
URL:https://cmsa.fas.harvard.edu/event/aqft-lecture-series-minhyong-kim-2524/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:AQFT Lecture Series,Colloquia & Seminar
ATTACH;FMTTYPE=application/pdf:https://cmsa.fas.harvard.edu/media/AQFt_LectureSeries_Poster.pdf
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240205T133000
DTEND;TZID=America/New_York:20240205T143000
DTSTAMP:20260503T163901
CREATED:20240125T173623Z
LAST-MODIFIED:20240206T180632Z
UID:10001357-1707139800-1707143400@cmsa.fas.harvard.edu
SUMMARY:AQFT Lecture Series | Brian Williams
DESCRIPTION:Arithmetic Quantum Field Theory Program Lecture Series\nSpeaker: Brian Williams\, Boston University \nTopic: Algebraic quantum field theory \nAbstract: Questions and structures in arithmetic that have been / might be amenable to inspiration from QFT\, in particular the theory of L-functions and the Langlands program.
URL:https://cmsa.fas.harvard.edu/event/aqft-lecture-series-brian-williams-2524/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:AQFT Lecture Series,Colloquia & Seminar
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/AQFT_LectureSeries.image_.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240205T143000
DTEND;TZID=America/New_York:20240205T153000
DTSTAMP:20260503T163901
CREATED:20240125T174645Z
LAST-MODIFIED:20240206T180606Z
UID:10001360-1707143400-1707147000@cmsa.fas.harvard.edu
SUMMARY:AQFT Lecture Series | David Ben-Zvi
DESCRIPTION:Arithmetic Quantum Field Theory Program Lecture Series\nSpeaker: David Ben-Zvi \nTopic: The Langlands program via arithmetic QFT \nAbstract: Structures in QFT (like factorization for observables and functorial QFT for states and their relation to geometric / deformation quantization) that are sufficiently algebraic and formal to allow for arithmetic analogs.
URL:https://cmsa.fas.harvard.edu/event/aqft-lecture-series-david-ben-zvi-2524/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:AQFT Lecture Series,Colloquia & Seminar
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/AQFT_LectureSeries.image_.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240206T100000
DTEND;TZID=America/New_York:20240206T110000
DTSTAMP:20260503T163901
CREATED:20240202T170516Z
LAST-MODIFIED:20240209T200944Z
UID:10000823-1707213600-1707217200@cmsa.fas.harvard.edu
SUMMARY:Noncompact n-dimensional Einstein spaces as attractors for the Einstein flow
DESCRIPTION:General Relativity Seminar \nSpeaker: Jinhua Wang\, Xiamen University \nTitle: Noncompact n-dimensional Einstein spaces as attractors for the Einstein flow \nAbstract: We prove that along with the Einstein flow\, any small perturbations of an $n$($n\geq4$)-dimensional\, non-compact negative Einstein space with some “non-positive Weyl tensor” lead to a unique and global solution\, and the solution will be attracted to a noncompact Einstein space that is close to the background one. The $n=3$ case has been addressed by Wang-Yuan\, while in dimension $n\geq 4$\, as we know\, negative Einstein metrics in general have non-trivial moduli spaces. This fact is reflected on the structure of Einstein equations\, which further indicates no decay for the spatial Weyl tensor. Furthermore\, it is suggested in the proof that the mechanic preventing the metric from flowing back to the original Einstein metric lies in the non-decaying character of spatial Weyl tensor. In contrary to the compact case considered in Andersson-Moncrief\, our proof is independent of the theory of infinitesimal Einstein deformations. Instead\, we take advantage of the inherent geometric structures of Einstein equations and develop an approach of energy estimates for a hyperbolic system of Maxwell type. \nReferences – arXiv: 2209.15244\, 2309.15152\, 2311.00868
URL:https://cmsa.fas.harvard.edu/event/general-relativity-seminar-2624/
LOCATION:Virtual
CATEGORIES:General Relativity Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-GR-Seminar-02.06.2024.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240206T123000
DTEND;TZID=America/New_York:20240206T133000
DTSTAMP:20260503T163901
CREATED:20240205T214553Z
LAST-MODIFIED:20240425T205546Z
UID:10000839-1707222600-1707226200@cmsa.fas.harvard.edu
SUMMARY:CMSA Q&A Seminar 2/6/2024
DESCRIPTION:CMSA Q and A Seminar \nSpeaker: Greg Moore\, Rutgers University \nQuestion: What is supersymmetry?
URL:https://cmsa.fas.harvard.edu/event/cmsaqa-2624/
LOCATION:Common Room\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:CMSA Q&A Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240206T160000
DTEND;TZID=America/New_York:20240206T173000
DTSTAMP:20260503T163901
CREATED:20240131T153258Z
LAST-MODIFIED:20240205T193624Z
UID:10001505-1707235200-1707240600@cmsa.fas.harvard.edu
SUMMARY:Flavor hierarchy from smooth confinement & Towards a complete classification of 6d supergravities
DESCRIPTION:Quantum Matter in Mathematics and Physics Seminar \nSpeaker: Yuta Hamada (KEK\, Tsukuba) \nTitle: Flavor hierarchy from smooth confinement & Towards a complete classification of 6d supergravities \nAbstract: The talk consists of two independent parts. In the first part\, I will talk about a new model to explain the Standard Model flavor hierarchy. Our model is based on explicit smooth confinement. The smallness of the first- and second-family fermion masses is explained by the exponential hierarchy via dimensional transmutation. In the second part\, I will talk about a classification of 6D supergravities. We make progress towards a complete classification of 6D supergravities with minimal supersymmetry and non-abelian gauge group. \nReferences – arXiv: 2209.15244\, 2309.15152\, 2311.00868 \n 
URL:https://cmsa.fas.harvard.edu/event/qm_2624/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-02.06.2024.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240207T090000
DTEND;TZID=America/New_York:20240207T103000
DTSTAMP:20260503T163901
CREATED:20240103T172620Z
LAST-MODIFIED:20241212T160057Z
UID:10001103-1707296400-1707301800@cmsa.fas.harvard.edu
SUMMARY:CMSA/Tsinghua Math-Science Literature Lecture: Amie Wilkinson
DESCRIPTION:CMSA/Tsinghua Math-Science Literature Lecture \nProf. Amie Wilkinson gave a lecture in the CMSA/Tsinghua Math-Science Literature Lecture Series. \nDate: Wednesday\, February 7\, 2024 \nTime: 9:00–10:30 am ET \nTitle: Stretching and shrinking: 85 years of the Hopf argument for ergodicity\nAbstract:  The early 20th century witnessed an explosion of activity\, much of it centered at Harvard\, on rigorizing the property of ergodicity first proposed by Boltzmann in his 1898  Ergodic Hypothesis for ideal gases. Earlier\, in the 1880’s\, Henri Poincaré and Felix Klein had also initiated a study of discrete groups of hyperbolic isometries. The geodesics in hyperbolic manifolds were discovered to carry a rich structure\, first investigated from a topological perspective by Emil Artin and Marston Morse.  The time was ripe to investigate geodesics in hyperbolic manifolds from an ergodic theoretic (i.e.\, statistical) perspective\, and indeed Gustav Hedlund proved in 1934 that the geodesic flow for closed hyperbolic surfaces is ergodic.\n\nIn 1939\, Eberhard Hopf published a proof of the ergodicity of geodesic flows for negatively curved surfaces containing a novel method\, now known as the Hopf argument.  The Hopf argument\, a “soft” argument for ergodicity of systems with some hyperbolicity (the “stretching and shrinking” in the title) has since seen wide application in geometry\, representation theory and dynamics.  I will discuss three results relying on the Hopf argument:\n\nTheorem (E. Hopf\, 1939\, D. Anosov\, 1967): In a closed manifold of negative sectional curvatures\, almost every geodesic is directionally equidistributed.\n\nTheorem (G. Mostow\, 1968) Let M and N be closed hyperbolic manifolds of dimension at least 3\, and let f:M->N be a homotopy equivalence.  Then f is homotopic to a unique isometry.\n\nTheorem (R. Mañé\, 1983\, A. Avila- S. Crovisier- A.W.\, 2022) The C^1 generic symplectomorphism of a closed symplectic manifold with positive entropy is ergodic.\n  \n\nBeginning in Spring 2020\, the CMSA began hosting a lecture series on literature in the mathematical sciences\, with a focus on significant developments in mathematics that have influenced the discipline\, and the lifetime accomplishments of significant scholars. \n 
URL:https://cmsa.fas.harvard.edu/event/mathscilit2024_aw/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/Mathlit_Wilkinson_letter.png
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240207T110000
DTEND;TZID=America/New_York:20240207T120000
DTSTAMP:20260503T163901
CREATED:20240125T172253Z
LAST-MODIFIED:20240215T214328Z
UID:10001355-1707303600-1707307200@cmsa.fas.harvard.edu
SUMMARY:AQFT Lecture Series | Minhyong Kim
DESCRIPTION:Arithmetic Quantum Field Theory Program Lecture Series\nSpeaker: Minhyong Kim\, University of Edinburgh \nTopic: Arithmetic topology and field theory \nAbstract: The setup of arithmetic topology as a bridge between the background of QFT to that of arithmetic (both “global” and “local”)\, including the “middle realm” of positive characteristic function fields. \nSlides (pdf)
URL:https://cmsa.fas.harvard.edu/event/aqft-lecture-series-minhyong-kim-2724/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:AQFT Lecture Series,Colloquia & Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240207T130000
DTEND;TZID=America/New_York:20240207T140000
DTSTAMP:20260503T163901
CREATED:20240102T163838Z
LAST-MODIFIED:20240207T220617Z
UID:10000149-1707310800-1707314400@cmsa.fas.harvard.edu
SUMMARY:Large language models\, mathematical discovery\, and search in the space of strategies: an anecdote
DESCRIPTION:New Technologies in Mathematics Seminar \nSpeaker: Jordan Ellenberg (UW Madison) \nTitle: Large language models\, mathematical discovery\, and search in the space of strategies: an anecdote \nAbstract: I spent a portion of 2023 working with a team at DeepMind on the “cap set problem” – how large can a subset of (Z/3Z)^n be which contains no three terms which sum to zero? (I will explain\, for those not familiar with this problem\, something about the role it plays in combinatorics\, its history\, and why number theorists care about it a lot.) By now\, there are many examples of machine learning mechanisms being used to help generate interesting mathematical knowledge\, and especially interesting examples. This project used a novel protocol; instead of searching directly for large cap sets\, we used LLMs trained on code to search the space of short programs for those which\, when executed\, output large cap sets. One advantage is that a program is much more human-readable than a large collection of vectors over Z/3Z\, bringing us closer to the not-very-well-defined-but-important goal of “interpretable machine learning.” I’ll talk about what succeeded in this project (more than I expected!) what didn’t\, and what role I can imagine this approach to the math-ML interface playing in near-future mathematical practice. \nThe paper: https://www.nature.com/articles/s41586-023-06924-6 \n 
URL:https://cmsa.fas.harvard.edu/event/nt2724/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:New Technologies in Mathematics Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-NTM-Seminar-02.07.24.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240207T143000
DTEND;TZID=America/New_York:20240207T153000
DTSTAMP:20260503T163901
CREATED:20240125T174235Z
LAST-MODIFIED:20240206T180625Z
UID:10001358-1707316200-1707319800@cmsa.fas.harvard.edu
SUMMARY:AQFT Lecture Series | Brian Williams
DESCRIPTION:Arithmetic Quantum Field Theory Program Lecture Series\nSpeaker: Brian Williams\, Boston University \nTopic: Algebraic quantum field theory \nAbstract: Questions and structures in arithmetic that have been / might be amenable to inspiration from QFT\, in particular the theory of L-functions and the Langlands program.
URL:https://cmsa.fas.harvard.edu/event/aqft-lecture-series-brian-williams-2724/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:AQFT Lecture Series,Colloquia & Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240208T103000
DTEND;TZID=America/New_York:20240208T113000
DTSTAMP:20260503T163901
CREATED:20240129T162946Z
LAST-MODIFIED:20240205T190443Z
UID:10000877-1707388200-1707391800@cmsa.fas.harvard.edu
SUMMARY:On (semi)stable reduction and KSBA moduli in positive characteristic
DESCRIPTION:Algebraic Geometry in String Theory Seminar \nSpeaker: Iacopo Brivio (Harvard CMSA) \nTitle: On (semi)stable reduction and KSBA moduli in positive characteristic \nAbstract: The moduli space M_g of genus g stable curves is perhaps the most studied of all algebraic varieties. Its higher-dimensional generalization is the moduli functor M_{n\,v} of n-dimension stable varieties of volume v. It was proven only recently\, and thanks to the joint effort of many over many years\, that such functors are represented by projective algebraic spaces when working over the complex numbers. In this talk I will give some examples showing that the same moduli functors in positive characteristic are not even proper and\, more in general\, that the MMP fails to be functorial even in very nice families. In the second part I am going to explore some possible generalizations of the notion of stable variety that could be used as a replacement in positive characteristic.
URL:https://cmsa.fas.harvard.edu/event/agst-2824/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Algebraic Geometry in String Theory Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240208T143000
DTEND;TZID=America/New_York:20240208T153000
DTSTAMP:20260503T163901
CREATED:20240125T172519Z
LAST-MODIFIED:20240215T214528Z
UID:10001356-1707402600-1707406200@cmsa.fas.harvard.edu
SUMMARY:AQFT Lecture Series | Minhyong Kim
DESCRIPTION:Arithmetic Quantum Field Theory Program Lecture Series\nSpeaker: Minhyong Kim\, University of Edinburgh \nTopic: Arithmetic topology and field theory \nAbstract: The setup of arithmetic topology as a bridge between the background of QFT to that of arithmetic (both “global” and “local”)\, including the “middle realm” of positive characteristic function fields. \nSlides (pdf)
URL:https://cmsa.fas.harvard.edu/event/aqft-lecture-series-minhyong-kim-2824/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:AQFT Lecture Series,Colloquia & Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240208T160000
DTEND;TZID=America/New_York:20240208T170000
DTSTAMP:20260503T163901
CREATED:20240125T174851Z
LAST-MODIFIED:20240206T180559Z
UID:10001361-1707408000-1707411600@cmsa.fas.harvard.edu
SUMMARY:AQFT Lecture Series | David Ben-Zvi
DESCRIPTION:Arithmetic Quantum Field Theory Program Lecture Series\nSpeaker: David Ben-Zvi \nTopic: The Langlands program via arithmetic QFT \nAbstract: Structures in QFT (like factorization for observables and functorial QFT for states and their relation to geometric / deformation quantization) that are sufficiently algebraic and formal to allow for arithmetic analogs.
URL:https://cmsa.fas.harvard.edu/event/aqft-lecture-series-david-ben-zvi-2824/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:AQFT Lecture Series,Colloquia & Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240209T093000
DTEND;TZID=America/New_York:20240209T110000
DTSTAMP:20260503T163901
CREATED:20240205T162614Z
LAST-MODIFIED:20240207T184606Z
UID:10001506-1707471000-1707476400@cmsa.fas.harvard.edu
SUMMARY:Quantum Algorithms to Recognize Phases of Matter and Exactly Solvable 2D Models with Anomalous Entanglement Entropy
DESCRIPTION:Quantum Matter in Mathematics and Physics Seminar \nSpeaker: Soonwon Choi (MIT) \nTitle: Quantum Algorithms to Recognize Phases of Matter and  Exactly Solvable 2D Models with Anomalous Entanglement Entropy \nAbstract: In this talk\, I will report my two recent results at the intersection of quantum information and strongly interacting phases of matters. \nIn the first half of the talk\, we describe exact quantum algorithms that recognize a class of 1D gapped phases\, namely symmetry protected topological phases or spontaneous symmetry breaking phases protected by abelian internal symmetry. The key idea is to observe the conceptual similarity between renormalization group (RG) flow and error correction\, and to implement the latter as unitary circuits emulating the RG flow. Our algorithm guarantees faithful recognition of a target phase with a small number of input quantum state samples. \nIn the second half\, we present a class of 2D Hamiltonians\, where the exact ground state wavefunctions can be exactly evaluated and shown to exhibit anomalous entanglement properties. One class of our models exhibit area-law scaling entanglement entropy\, but this is mostly due to non-local correlation: one finds that the topological entanglement entropy also scales with the size of subsystem choices. By making simple modifications\, we can also devise 2D models with volume-law scaling bipartite entanglement entropy. Our results can be understood as a generation of the 1D Motzkin model to 2D systems. \nBased on work done with Ethan Lake and Shankar Balasubramanian \nhttps://arxiv.org/abs/2211.09803 \nhttps://arxiv.org/abs/2305.07028
URL:https://cmsa.fas.harvard.edu/event/qm-2924/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-02.09.2024.png
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