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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20231204T163000
DTEND;TZID=America/New_York:20231204T173000
DTSTAMP:20240223T075301Z
CREATED:20240223T075301Z
LAST-MODIFIED:20240223T075301Z
UID:10002830-1701707400-1701711000@cmsa.fas.harvard.edu
SUMMARY:Analysis of ALH* gravitational instantons
DESCRIPTION:Speaker: Xuwen Zhu (Northeastern) \nTitle: Analysis of ALH* gravitational instantons \nAbstract: Gravitational instantons are non-compact Calabi-Yau metrics with L^2 bounded curvature and are categorized into six types. We will discuss one such type called ALH* metrics which has a non-compact end modelled by the Calabi ansatz with inhomogeneous collapsing near infinity. Such metrics appeared recently in the works on SYZ conjecture\, as well as the scaling bubble limits for codimension-3 collapsing of K3 surfaces\, where the study of its Laplacian played a central role. In this talk I will talk about the Fredholm mapping property and L^2 cohomology of such metrics. This is ongoing work joint with Rafe Mazzeo.
URL:https://cmsa.fas.harvard.edu/event/colloquium-12423/
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-12.04.2023.docx-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20231205T123000
DTEND;TZID=America/New_York:20231205T133000
DTSTAMP:20240223T084615Z
CREATED:20240223T084615Z
LAST-MODIFIED:20240223T084615Z
UID:10002841-1701779400-1701783000@cmsa.fas.harvard.edu
SUMMARY:CMSA Q and A Seminar 12/5/2023
DESCRIPTION:CMSA Q and A Seminar \nSpeakers: Mike Douglas (Harvard CMSA) and Anurag Anshu (Harvard Computer Science) \nTopics:  \nMike Douglas: What are scaling laws in deep learning? \nAnurag Anshu: What’s the difference between classical information theory and quantum information theory (or classical computation vs quantum computation)? \n 
URL:https://cmsa.fas.harvard.edu/event/cmsaqa_12523/
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:20231208T120000
DTEND;TZID=America/New_York:20231208T130000
DTSTAMP:20240227T112426Z
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:20231211T163000
DTEND;TZID=America/New_York:20231211T173000
DTSTAMP:20240223T074431Z
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:20231215T120000
DTEND;TZID=America/New_York:20231215T130000
DTSTAMP:20240227T111152Z
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:20240125T165049Z
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:20240126T120000
DTEND;TZID=America/New_York:20240126T130000
DTSTAMP:20240125T174129Z
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:20240202T120000
DTEND;TZID=America/New_York:20240202T130000
DTSTAMP:20240201T171531Z
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:20240205T110000
DTEND;TZID=America/New_York:20240205T120000
DTSTAMP:20240215T214244Z
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:20240206T180632Z
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:20240206T180606Z
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:20240206T123000
DTEND;TZID=America/New_York:20240206T133000
DTSTAMP:20240425T205546Z
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:20240207T110000
DTEND;TZID=America/New_York:20240207T120000
DTSTAMP:20240215T214328Z
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:20240207T220617Z
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:20240206T180625Z
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:20240208T143000
DTEND;TZID=America/New_York:20240208T153000
DTSTAMP:20240215T214528Z
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:20240206T180559Z
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:20240209T120000
DTEND;TZID=America/New_York:20240209T130000
DTSTAMP:20240208T143041Z
CREATED:20240208T143028Z
LAST-MODIFIED:20240208T143041Z
UID:10000669-1707480000-1707483600@cmsa.fas.harvard.edu
SUMMARY:The spectrum of some nonlinear random matrices
DESCRIPTION:CMSA Member Seminar \nSpeaker: Benjamin McKenna (Harvard) \nTitle: The spectrum of some nonlinear random matrices \nAbstract: Modern data science often requires one to consider “nonlinear random matrices\,” a broad term for random-matrix models whose construction involves a nonlinear function applied entrywise. Such models are typically far from classical random matrix theory\, and in principle entrywise nonlinearities can affect the eigenvalues in a complicated way. However\, recent years have seen a number of results on nonlinear models whose spectrum is surprisingly simple. We give one such result\, emphasizing general random-matrix techniques like free probability and orthogonal polynomials. Joint work with Sofiia Dubova\, Yue M. Lu\, and Horng-Tzer Yau.
URL:https://cmsa.fas.harvard.edu/event/member-seminar-2924/
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:20240209T130000
DTEND;TZID=America/New_York:20240209T140000
DTSTAMP:20240209T183618Z
CREATED:20240125T174316Z
LAST-MODIFIED:20240209T183618Z
UID:10001359-1707483600-1707487200@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-2924/
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:20240209T140000
DTEND;TZID=America/New_York:20240209T150000
DTSTAMP:20240207T211016Z
CREATED:20240125T175054Z
LAST-MODIFIED:20240207T211016Z
UID:10001362-1707487200-1707490800@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-2924/
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:20240209T153000
DTEND;TZID=America/New_York:20240209T163000
DTSTAMP:20240207T210956Z
CREATED:20240125T175133Z
LAST-MODIFIED:20240207T210956Z
UID:10001363-1707492600-1707496200@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-2924_pm/
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:20240212T163000
DTEND;TZID=America/New_York:20240212T173000
DTSTAMP:20240209T210827Z
CREATED:20240201T145702Z
LAST-MODIFIED:20240209T210827Z
UID:10000807-1707755400-1707759000@cmsa.fas.harvard.edu
SUMMARY:Machine Learning and Scientific Computing: There is plenty of room in the middle
DESCRIPTION:Colloquium \nSpeaker: Petros Koumoutsakos\, Harvard SEAS \nTitle: Machine Learning and Scientific Computing: There is plenty of room in the middle \nAbstract: Over the last thirty years we have experienced more than a billion-fold increase in hardware capabilities and a dizzying pace of acquiring and transmitting massive amounts of data. Scientific Computing and\, more lately\, Artificial Intelligence (AI) has been key beneficiaries of these advances. In this talk I would outline the need for bridging the decades long advances in Scientific Computing with those of AI. I will use examples from fluid mechanics to argue for forming alloys of AI and simulations for their prediction and control. I will present novel algorithms for learning the Effective Dynamics (LED) of complex systems and a fusion of multi- agent reinforcement learning and scientific computing (SciMARL) for modeling and control of turbulent flows. I will also show our recent work on Optimizing a Discrete Loss (ODIL) that outperforms popular techniques such as PINNs by several orders of magnitude. \nI will juxtapose successes and failures and argue that the proper fusion of scientific computing and AI expertise are essential to advance scientific frontiers. \n 
URL:https://cmsa.fas.harvard.edu/event/colloquium-21224/
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-02.12.2024_Page_1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240214T140000
DTEND;TZID=America/New_York:20240214T150000
DTSTAMP:20240130T194619Z
CREATED:20240102T164110Z
LAST-MODIFIED:20240130T194619Z
UID:10000151-1707919200-1707922800@cmsa.fas.harvard.edu
SUMMARY:What Algorithms can Transformers Learn? A Study in Length Generalization
DESCRIPTION:New Technologies in Mathematics Seminar \nSpeaker: Preetum Nakkiran\, Apple \nTitle: What Algorithms can Transformers Learn? A Study in Length Generalization \nAbstract: Large language models exhibit many surprising “out-of-distribution” generalization abilities\, yet also struggle to solve certain simple tasks like decimal addition. To clarify the scope of Transformers’ out-of-distribution generalization\, we isolate this behavior in a specific controlled setting: length-generalization on algorithmic tasks. Eg: Can a model trained on 10 digit addition generalize to 50 digit addition? For which tasks do we expect this to work? \nOur key tool is the recently-introduced RASP language (Weiss et al 2021)\, which is a programming language tailor-made for the Transformer’s computational model. We conjecture\, informally\, that: Transformers tend to length-generalize on a task if there exists a short RASP program that solves the task for all input lengths. This simple conjecture remarkably captures most known instances of length generalization on algorithmic tasks\, and can also inform design of effective scratchpads. Finally\, on the theoretical side\, we give a simple separating example between our conjecture and the “min-degree-interpolator” model of learning from Abbe et al. (2023). \nJoint work with Hattie Zhou\, Arwen Bradley\, Etai Littwin\, Noam Razin\, Omid Saremi\, Josh Susskind\, and Samy Bengio. To appear in ICLR 2024. \n 
URL:https://cmsa.fas.harvard.edu/event/nt21424/
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-02.14.2024.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240214T160000
DTEND;TZID=America/New_York:20240214T173000
DTSTAMP:20240212T211844Z
CREATED:20240212T162016Z
LAST-MODIFIED:20240212T211844Z
UID:10002103-1707926400-1707931800@cmsa.fas.harvard.edu
SUMMARY:Quantum Algebra of Chern-Simons Matrix Model and Large N Limit
DESCRIPTION:Quantum Matter in Mathematics and Physics Seminar \nSpeaker: Sen Hu (Shanghai Institute for Mathematics and Interdisciplinary Study) \nTitle: Quantum Algebra of Chern-Simons Matrix Model and Large N Limit \nAbstract: In this talk we discuss the algebra of quantum observables of the Chern-Simons matrix model which was originally proposed by Susskind and Polychronakos to describe electrons in fractional quantum Hall effects. We establish the commutation relations for its generators and study the large N limit of its representation. We show that the large N limit algebra is isomorphic to the uniform in N algebra studied by Costello\, which is conjecturally isomorphic to the deformed double current algebra studied by Guay. Under appropriate scaling limit\, we show that the large N limit algebra degenerates to a Lie algebra which admits a surjective map to the affine Lie algebra of u(p). This leads to a complete proof of the large N emergence of the u(p) current algebra as proposed by Dorey\, Tong and Turner. This also suggests a rigorous derivation of edge excitation of a fractional quantum Hall droplet. This is a joint work with Si Li\, Dongheng Ye and Yehao Zhou (arXiv: 2308.14046).
URL:https://cmsa.fas.harvard.edu/event/qm-21424/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter,Seminars
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-02.14.2024.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240216T120000
DTEND;TZID=America/New_York:20240216T130000
DTSTAMP:20240215T182409Z
CREATED:20240213T164834Z
LAST-MODIFIED:20240215T182409Z
UID:10000671-1708084800-1708088400@cmsa.fas.harvard.edu
SUMMARY:Symmetries and algebraicity in the flux landscape
DESCRIPTION:CMSA Member Seminar \nSpeaker: Damian van de Heisteeg (Harvard CMSA) \nTitle: Symmetries and algebraicity in the flux landscape \nAbstract: In this talk I consider potentials coming from fluxes in string theory. The minima of these potentials trace out special loci in the moduli space of Calabi-Yau manifolds. I discuss the structure that underlies these minima from a Hodge-theoretic point of view. \n 
URL:https://cmsa.fas.harvard.edu/event/member-seminar-21624/
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-02.15.2024.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240220T123000
DTEND;TZID=America/New_York:20240220T133000
DTSTAMP:20240425T205533Z
CREATED:20240206T174758Z
LAST-MODIFIED:20240425T205533Z
UID:10000840-1708432200-1708435800@cmsa.fas.harvard.edu
SUMMARY:CMSA Q&A Seminar 2/20/2024
DESCRIPTION:CMSA Q and A Seminar\n\nSpeaker: Solomon Friedberg\, Boston College\n\nQuestion: What is the Langlands program?
URL:https://cmsa.fas.harvard.edu/event/cmsaqa-22024/
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:20240221T140000
DTEND;TZID=America/New_York:20240221T150000
DTSTAMP:20240223T152643Z
CREATED:20240105T034012Z
LAST-MODIFIED:20240223T152643Z
UID:10001113-1708524000-1708527600@cmsa.fas.harvard.edu
SUMMARY:Computers and mathematics in partial differential equations: New developments and challenges
DESCRIPTION:New Technologies in Mathematics Seminar \nSpeaker: Javier Gomez Serrano\, Brown University \nTitle: Computers and mathematics in partial differential equations: new developments and challenges \nAbstract: In this talk I will address the interaction between traditional and more modern mathematics and how computers have helped over the last decade providing rigorous (computer-assisted) proofs in the context of partial differential equations. I will also describe new exciting future directions in the field. No background is assumed.
URL:https://cmsa.fas.harvard.edu/event/nt-22124/
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-02.21.2024.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240223T120000
DTEND;TZID=America/New_York:20240223T130000
DTSTAMP:20240220T160057Z
CREATED:20240123T192604Z
LAST-MODIFIED:20240220T160057Z
UID:10000673-1708689600-1708693200@cmsa.fas.harvard.edu
SUMMARY:Integrability and Hidden Symmetries in Black Hole Dynamics
DESCRIPTION:CMSA Member Seminar \nSpeaker: Uri Kol (Harvard CMSA) \nTitle: Integrability and Hidden Symmetries in Black Hole Dynamics \nAbstract: The last decade has produced a number of remarkable discoveries\, such as the first direct observation of gravitational waves by the LIGO/Virgo collaboration and the first black hole image taken by the Event Horizon Telescope. These discoveries mark the beginning of a new precision era in black hole physics\, which is expected to develop further by future experiments such as LISA\, the Einstein Telescope and Cosmic Explorer. \n  \nIn the era of precision black hole measurements\, there is a need for precision theoretical methods and accurate predictions. In this talk I will describe an integrable sector of the gravitational scattering problem – analogous to the hydrogen atom in quantum mechanics – in which exact predictions can be made\, and the implications for astrophysical black holes and binary mergers.
URL:https://cmsa.fas.harvard.edu/event/member-seminar-22324/
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-02.23.24.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240226T130000
DTEND;TZID=America/New_York:20240226T140000
DTSTAMP:20240221T193940Z
CREATED:20240208T143204Z
LAST-MODIFIED:20240221T193940Z
UID:10001772-1708952400-1708956000@cmsa.fas.harvard.edu
SUMMARY:AQFT Lecture Series
DESCRIPTION:AQFT Lecture Series \nSpeaker: Omer Offen (Brandeis) \nTitle: Period integrals of automorphic forms and the residue method \nAbstract: I will discuss some aspects of period integrals of automorphic forms via examples. In particular\, the residue method of Jacquet and Rallis and its recent application\, joint with Friedberg and Ginzburg\, to study new periods on the residual automorphic spectrum of the symplectic group.
URL:https://cmsa.fas.harvard.edu/event/aqft-lecture-series-22624/
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:20240226T163000
DTEND;TZID=America/New_York:20240226T173000
DTSTAMP:20240220T171315Z
CREATED:20240130T150524Z
LAST-MODIFIED:20240220T171315Z
UID:10000809-1708965000-1708968600@cmsa.fas.harvard.edu
SUMMARY:Factorization algebras in quite a lot of generality
DESCRIPTION:Colloquium \nSpeaker: Clark Barwick\, University of Edinburgh \nTitle: Factorization algebras in quite a lot of generality \nAbstract: The objects of arithmetic geometry are not manifolds. Some concepts from differential geometry admit analogues in arithmetic\, but they are not straightforward. How then can we hope to make precise sense of quantum field theories on these objects? I will propose the beginnings of a mathematical framework via a general theory of factorization algebras. A new feature is a subtle piece of additional structure on our objects – what I call a world-structure – that is ordinarily left implicit.
URL:https://cmsa.fas.harvard.edu/event/colloquium-22624/
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-02.26.2024.png
END:VEVENT
END:VCALENDAR