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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260127T161500
DTEND;TZID=America/New_York:20260127T183000
DTSTAMP:20260430T151458
CREATED:20250407T174204Z
LAST-MODIFIED:20260126T163039Z
UID:10003739-1769530500-1769538600@cmsa.fas.harvard.edu
SUMMARY:The Quasi-Adiabatic Theorem and All That
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeaker: Daniel Spiegel\, Harvard \nTitle: The Quasi-Adiabatic Theorem and All That \nAbstract: Yosuke Kubota has recently made progress on understanding Kitaev’s conjecture by constructing a loop spectrum consisting of spaces of quantum spin systems\, indexed by spatial dimension of the lattice (arXiv: 2503.12618). After a brief reminder on the C*-algebraic formalism of quantum spin systems\, I will discuss Section 2 of this paper\, which covers some of the more analytical tools used to construct the loop spectrum. In particular\, I will focus on the quasi-adiabatic theorem which roughly speaking states that a smooth path of gapped Hamiltonians with unique ground states gives rise to a path of nice automorphisms that map the ground state at time zero to the path of ground states.
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_12726/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Geometry-Quantum-Theory-1.27.26-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251216T161500
DTEND;TZID=America/New_York:20251216T183000
DTSTAMP:20260430T151458
CREATED:20251031T150328Z
LAST-MODIFIED:20251031T150328Z
UID:10003824-1765901700-1765909800@cmsa.fas.harvard.edu
SUMMARY:Geometry and Quantum Theory Seminar
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeaker: tba
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_121625/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251209T161500
DTEND;TZID=America/New_York:20251209T183000
DTSTAMP:20260430T151458
CREATED:20251031T145823Z
LAST-MODIFIED:20251208T150959Z
UID:10003830-1765296900-1765305000@cmsa.fas.harvard.edu
SUMMARY:Geometry and Quantum Theory Seminar
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeaker: Lorenzo Riva\, CMSA \nTitle: Aganagic’s invariant is Khovanov homology \nAbstract: Webster computed the Khovanov homology of (the closure of) a braid in terms of the action of that braid on a certain KLRW category. Aganagic proposed that the same computation could be done in the Fukaya-Seidel category of the multiplicative Coulomb branch associated to a weighted quiver. In this talk we will recap the story so far and then sketch LePage and Shende’s proof of Aganagic’s proposal. \n  \nSpeaker: Bowen Yang\, CMSA \nTitle: Some groups from Condensed matter physics \nAbstract: I would like to talk about some groups coming from the study of quantum spin systems. They inspired a construction of generalized homology theories related to Azumaya algebras. \n  \n  \n 
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_12925/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Geometry-Quantum-Theory-12.9.25-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251202T161500
DTEND;TZID=America/New_York:20251202T183000
DTSTAMP:20260430T151458
CREATED:20251021T202125Z
LAST-MODIFIED:20251201T192115Z
UID:10003822-1764692100-1764700200@cmsa.fas.harvard.edu
SUMMARY:Homological mirror symmetry for Coulomb branches
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeaker: Sebastian Haney\, Harvard \nTitle: Homological mirror symmetry for Coulomb branches \nAbstract: I will describe a result of Aganagic\, Danilenko\, Li\, Shende\, and Zhou which constructs a embeddings of certain cylindrical KLRW categories into Fukaya-Seidel categories of multiplicative Coulomb branches. This can be thought of as a homological mirror symmetry statement relating the Fukaya category of a multiplicative Coulomb branch to the derived category of a resolved additive Coulomb branch. I will describe the construction of the relevant Fukaya–Seidel categories\, and explain how the KRLW relations are realized by counts of holomorphic disks in symmetric products of surfaces. \n\n 
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_12225/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Geometry-Quantum-Theory-12.2.25-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251125T161500
DTEND;TZID=America/New_York:20251125T183000
DTSTAMP:20260430T151458
CREATED:20251021T202057Z
LAST-MODIFIED:20251124T145931Z
UID:10003821-1764087300-1764095400@cmsa.fas.harvard.edu
SUMMARY:Coulomb branches and KLRW algebras
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeaker:Vasily Krylov\, CMSA \nTitle: Coulomb branches and KLRW algebras \nAbstract: I will introduce Coulomb branches associated to a pair of a reductive group G and its complex representation N. We will discuss their main geometric properties and examine explicit examples. I will also highlight the connection to the moduli space of monopoles. Time permitting\, we will see how KLRW naturally arise in this context.
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_112525/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Geometry-Quantum-Theory-11.25.25-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251111T161500
DTEND;TZID=America/New_York:20251111T183000
DTSTAMP:20260430T151458
CREATED:20251021T202013Z
LAST-MODIFIED:20251110T161345Z
UID:10003820-1762877700-1762885800@cmsa.fas.harvard.edu
SUMMARY:Khovanov homology from KLRW algebras
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeaker: Sunghyuk Park\, CMSA \nTitle: Khovanov homology from KLRW algebras \nAbstract: This is the first in a four-part series\, organized together with Vasily Krylov\, Sebastian Haney\, and Lorenzo Riva\, aimed at understanding Aganagic’s categorification of quantum link invariants through Coulomb branches and homological mirror symmetry. In this first talk\, I will lay the algebraic background for this story by explaining how Khovanov homology can be understood in terms of higher representation theory via Khovanov-Lauda-Rouquier-Webster (KLRW) algebras.
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_111125/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Geometry-Quantum-Theory-11.11.25-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251104T161500
DTEND;TZID=America/New_York:20251104T183000
DTSTAMP:20260430T151458
CREATED:20251021T201937Z
LAST-MODIFIED:20251031T151517Z
UID:10003819-1762272900-1762281000@cmsa.fas.harvard.edu
SUMMARY:A fully local extension of Chern-Simons theory
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeaker: Dan Freed \nTitle: A fully local extension of Chern-Simons theory \nAbstract: The Reshetikhin-Turaev-Witten invariants of 3-manifolds fit into a 3-dimensional topological field theory that also attaches invariants to 2-manifolds and 1-manifolds. It has long been asked to extend to invariants of 0-manifolds as well\, a question that often takes the form: What does Chern-Simons theory attach to a point?. In joint work with Claudia Scheimbauer and Constantin Teleman we use the cobordism hypothesis to construct a fully local version of Chern-Simons theory. We also consider different versions with different tangential structures\, as I will explain.
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_11425/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Geometry-Quantum-Theory-11.4.25-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251028T161500
DTEND;TZID=America/New_York:20251028T183000
DTSTAMP:20260430T151458
CREATED:20251021T201853Z
LAST-MODIFIED:20251027T135640Z
UID:10003818-1761668100-1761676200@cmsa.fas.harvard.edu
SUMMARY:Geometry and Quantum Theory Seminar
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeakers: (1) Elliott Gesteau\, CMSA (60 min) and  (2) Sanjay Raman\, Harvard (30 min) \n(1) Title: Holography for closed universes \nAbstract: Recent advances in holography and black hole physics have prompted a number of new puzzles related to the physics of closed universes\, which can be argued to have a one-dimensional Hilbert space of states from various perspectives. In this talk I will review this new set of puzzles\, with an emphasis of the mathematical questions that they seem to raise. \n  \n(2) Title: Non-supersymmetric branes\, bordism\, and fractional charges \nAbstract: We dive a little deeper into the non-supersymmetric brane configurations studied in Kaidi-Tachikawa-Yonekura (2024). We study the gravitational analogues of the branes in the aforementioned paper\, relating them to relative defects predicted by the Cobordism Conjecture\, and we argue for the existence of objects carrying fractional heterotic string and M2-brane charge.
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_102825/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Geometry-Quantum-Theory-10.28.25-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251014T161500
DTEND;TZID=America/New_York:20251014T183000
DTSTAMP:20260430T151458
CREATED:20251001T183159Z
LAST-MODIFIED:20251014T154228Z
UID:10003803-1760458500-1760466600@cmsa.fas.harvard.edu
SUMMARY:Geometry and Quantum Theory Seminar
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeaker: Dylan Galt\, Harvard \n(60 minute talk) \nTitle: What is a “nonlinear” near-symplectic form? \nAbstract: In this talk\, I will explain how one might understand this question and why a possible answer can be found in the geometry of coassociative 4-folds\, a special class of minimal submanifolds discovered by Harvey and Lawson. \n  \nSpeaker: Keyou Zeng\, CMSA \n(30 minute talk) \nTitle: Cohomology of configuration space of points \nAbstract: Configuration space of points is an interesting and important subject in mathematics and physics. I’ll review some classical results computing cohomology of configuration space of points. I’ll also introduce some recent progress in computing sheaf cohomology of configuration space of affine space. \n  \n 
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_101425/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Geometry-Quantum-Theory-10.14.25-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251007T161500
DTEND;TZID=America/New_York:20251007T183000
DTSTAMP:20260430T151458
CREATED:20251001T183038Z
LAST-MODIFIED:20251007T132737Z
UID:10003802-1759853700-1759861800@cmsa.fas.harvard.edu
SUMMARY:A Classifying Space for Phases of Matrix Product States
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeakers: Daniel Spiegel\, Harvard Math \nTitle: A Classifying Space for Phases of Matrix Product States \nAbstract: Alexei Kitaev has conjectured that there should be a loop spectrum consisting of spaces of gapped invertible quantum spin systems\, indexed by spatial dimension d of the lattice. Motivated by Kitaev’s conjecture\, I will detail a concrete construction of a topological space B consisting of translation invariant injective matrix product states (MPS) of all physical and bond dimensions\, which plays the role Kitaev’s space in dimension d = 1. Having such a space is a useful tool in the discussion of parametrized phases of MPS; in fact it allows us to define a parametrized phase as a homotopy class of maps into B. The space B is constructed as the quotient of a contractible space E of MPS tensors modulo gauge transformations. The projection map from E to B is a quasifibration\, from which we can compute the homotopy groups of the classifying space B by a long exact sequence. In particular\, B has the weak homotopy type K(Z\, 2) x K(Z\, 3)\, shedding light on Kitaev’s conjecture in the context of MPS. \nDaniel Spiegel will speak for 60 minutes. \nSunghyuk Park  (CMSA) will also speak for 15 minutes
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_10725/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Geometry-Quantum-Theory-10.7.25-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250930T161500
DTEND;TZID=America/New_York:20250930T183000
DTSTAMP:20260430T151458
CREATED:20250829T204925Z
LAST-MODIFIED:20250929T175811Z
UID:10003775-1759248900-1759257000@cmsa.fas.harvard.edu
SUMMARY:Geometry and Quantum Theory Seminar
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeaker 1: Max Hubner\, CMSA \nTitle: On Topological Structures in String Theory \nAbstract: Geometric engineering constructions in string theory often realize QFTs relative to an extra-dimensional geometry. This perspective parallels the symmetry TFT construction where a QFT is presented relative to its extra-dimensional symmetry quiche. Unsurprisingly\, as we will discuss\, these constructions are related. Topological features of the extra-dimensional geometry map onto the symmetry TFT. We discuss examples and generalization beyond purely geometric constructions in string theory. \nSpeaker 2: Bowen Yang\, CMSA \nTitle: Bounded L theory \nAbstract: Bounded L-groups arise in the intersection of algebraic L-theory and large-scale geometry\, providing a framework for quadratic forms and automorphisms subject to uniform control conditions. These groups play a role in topology and surgery theory\, especially in contexts where one needs to measure obstructions not just algebraically but also geometrically\, with bounds on propagation or support. In this talk I will give a gentle introduction to the basic definitions\, explain how bounded L-groups differ from classical L-groups\, and outline an application to quantum many body invariants.
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_93025/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Geometry-Quantum-Theory-9.30.25.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250909T161500
DTEND;TZID=America/New_York:20250909T183000
DTSTAMP:20260430T151458
CREATED:20250829T204407Z
LAST-MODIFIED:20250908T135742Z
UID:10003774-1757434500-1757442600@cmsa.fas.harvard.edu
SUMMARY:Higher categories of cobordisms
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeaker: Lorenzo Riva \nTitle: Higher categories of cobordisms \nAbstract: I will give a brief introduction to topological field theories from a higher categorical perspective. After saying a few things about higher categories\, I will define a family of n-categories of bordisms and talk about their universal properties. I will try to squeeze in the canonical example — representations of the 2-dimensional oriented bordism 2-category are separable symmetric Frobenius algebras — and\, time permitting\, talk about my current work. \n 
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_9925/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Geometry-Quantum-Theory-9.9.25-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250902T161500
DTEND;TZID=America/New_York:20250902T183000
DTSTAMP:20260430T151458
CREATED:20250829T204330Z
LAST-MODIFIED:20250902T170240Z
UID:10003773-1756829700-1756837800@cmsa.fas.harvard.edu
SUMMARY:Fukaya category and gauge theory
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeaker: Saman Habibi Esfahani\, Harvard CMSA \nTitle: Fukaya category and gauge theory \nAbstract: After setting up some background\, I will discuss the Fukaya $A_\ infty$-category and several instances where it appears in gauge theory\, such as in the study of flat connections on Riemann surfaces\, holomorphic sections of some hyperkähler bundles\, and instantons and holomorphic curves in K3 surfaces. If time permits\, I will also outline potential applications of these ideas to the study of 3-manifolds and manifolds with special holonomy. \n  \n 
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_9225/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Geometry-Quantum-Theory-9.2.25.edit_-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250512T163000
DTEND;TZID=America/New_York:20250512T173000
DTSTAMP:20260430T151458
CREATED:20250407T140851Z
LAST-MODIFIED:20250506T191033Z
UID:10003734-1747067400-1747071000@cmsa.fas.harvard.edu
SUMMARY:Factorizations for data analysis
DESCRIPTION:Colloquium \nSpeaker: Anna Seigal\, Harvard University \nTitle: Factorizations for data analysis \nAbstract: We can find structure in data by factoring it into building blocks\, which should be interpretable for the context at hand. A classical example is principal component analysis (PCA)\, which uses the eigendecomposition of the covariance matrix to find axes of variation in a dataset. Starting from PCA\, I will discuss matrix and tensor factorizations for data analysis\, and the linear and multilinear algebra that underpins their theoretical properties. We will see examples from causal inference\, independent component analysis\, and dimensionality reduction.
URL:https://cmsa.fas.harvard.edu/event/colloquium-51225/
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-5.12.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250506T161500
DTEND;TZID=America/New_York:20250506T181500
DTSTAMP:20260430T151458
CREATED:20250407T174129Z
LAST-MODIFIED:20250407T174129Z
UID:10003738-1746548100-1746555300@cmsa.fas.harvard.edu
SUMMARY:Geometry and Quantum Theory Seminar
DESCRIPTION:Geometry and Quantum Theory Seminar
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_5625/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250505T163000
DTEND;TZID=America/New_York:20250505T173000
DTSTAMP:20260430T151458
CREATED:20250407T140808Z
LAST-MODIFIED:20250501T134436Z
UID:10003733-1746462600-1746466200@cmsa.fas.harvard.edu
SUMMARY:Thinking Outside the Ballot Box
DESCRIPTION:Colloquium \nSpeaker: Ariel Procaccia\, Harvard University \nTitle: Thinking Outside the Ballot Box \nAbstract: How should one design unprecedented democratic processes capable of handling enormous sets of alternatives like all possible policies\, bills\, or statements? I argue that this challenge can be addressed through a framework called generative social choice\, which fuses the rigor of social choice theory with the flexibility and power of large language models. I then explore an application of generative social choice to the problem of identifying a proportionally representative slate of opinion statements. This includes a discussion of desired properties\, an algorithm that provably achieves them\, an implementation using GPT\, and insights from an end-to-end pilot. By providing guarantees\, generative social choice could alleviate concerns about AI-driven democratic innovation and help unlock its potential.
URL:https://cmsa.fas.harvard.edu/event/colloquium-5525/
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-5.5.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250429T161500
DTEND;TZID=America/New_York:20250429T181500
DTSTAMP:20260430T151458
CREATED:20250414T213151Z
LAST-MODIFIED:20250428T143404Z
UID:10003740-1745943300-1745950500@cmsa.fas.harvard.edu
SUMMARY:Algebraic approach to the bow construction
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeakers: Anadil Saeed Rao (Northeastern) and Vasily Krylov (CMSA/Harvard) \nTitle: Algebraic approach to the bow construction \nAbstract: Anadil will finish his part of the talk. Vasily will then explain how to understand moduli spaces of instantons on R^4\, monopoles on R^3\, and instantons on Taub-NUT spaces algebraically as so-called bow varieties. We will see how affine type A Nakajima quiver varieties and Slodowy slices arise as special cases of bow varieties. Time permitting\, we will also discuss applications to 3D mirror symmetry and Coulomb branches.
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_42925-2/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Geometry-Quantum-Theory-4.29.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250428T163000
DTEND;TZID=America/New_York:20250428T173000
DTSTAMP:20260430T151458
CREATED:20241209T171137Z
LAST-MODIFIED:20250423T174326Z
UID:10003637-1745857800-1745861400@cmsa.fas.harvard.edu
SUMMARY:Bass-Note Spectra of locally uniform geometries
DESCRIPTION:Colloquium \nSpeaker: Peter Sarnak\, IAS & Princeton University \nTitle: Bass-Note Spectra of locally uniform geometries \nAbstract: We formulate and report on the problem of the Bass-Note Spectrum of an invariant operator as one varies over locally uniform geometries. In the Euclidean setting this recasts classical problems of Mahler from the geometry of numbers in a new light. For certain operators homogeneous dynamics can be used decisively. In the non-Euclidean setting of hyperbolic manifolds we review some recent developments using the conformal bootstrap method and of random covers to study the Bass-Note spectra. We highlight the theme and impact of rigidity.
URL:https://cmsa.fas.harvard.edu/event/colloquium-42825/
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-4.28.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250422T161500
DTEND;TZID=America/New_York:20250422T181500
DTSTAMP:20260430T151458
CREATED:20250421T132929Z
LAST-MODIFIED:20250421T134309Z
UID:10003736-1745338500-1745345700@cmsa.fas.harvard.edu
SUMMARY:Classifying Space for Phases of Matrix Product States
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeakers: Bryan Wang Peng Jun (Harvard) and Bowen Yang (CMSA) \nTitle: Classifying Space for Phases of Matrix Product States \nAbstract: In this talk we will introduce recent work of Beaudry-Hermele-Pflaum-Qi-Spiegel-Stephen (arXiv:2501.14241)\, on constructing a classifying space for phases of matrix product states (MPS).
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_42225/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Geometry-Quantum-Theory-4.22.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250421T163000
DTEND;TZID=America/New_York:20250421T173000
DTSTAMP:20260430T151458
CREATED:20241209T163847Z
LAST-MODIFIED:20250418T142045Z
UID:10003636-1745253000-1745256600@cmsa.fas.harvard.edu
SUMMARY:Modeling the emergence of complex cortical structure from simple precursors in the brain: maps\, hierarchies\, and modules
DESCRIPTION:Colloquium \nSpeaker: Ila Fiete\, MIT \nTitle: Modeling the emergence of complex cortical structure from simple precursors in the brain: maps\, hierarchies\, and modules \nAbstract: Modular and hierarchical structures are ubiquitous in the brain. Two distinct hypotheses for such morphogenesis involve genetic specification (the positional information hypothesis) or spontaneous structure emergence from symmetry breaking (the pattern formation hypothesis). Indeed\, there is rich evidence supporting both hypotheses in different systems\, and more recently evidence that both systems might interact\, for instance with genetic specification providing an initial but relatively low-information scaffold of positional guidance and pattern formation constructing sharper structures by bootstrapping from this guidance. In this talk\, I will consider the emergence of two systems in the brain: the visual processing hierarchy with topographic structure\, and a modular cognitive circuit consisting of functionally independent grid cell networks that compute spatial location from velocity cues as animals move and navigate the world. I will describe how simple activity-driven growth and competition rules can lead to the emergence of topographically ordered sensory processing hierarchies\, and how genetically specified smooth gradients with purely local recurrent interactions on two scales can lead to global module emergence. In sum\, simple growth rules\, local interactions and smooth gradients can interact to produce rich emergent order on multiple scales in the form of maps\, modules\, and hierarchies\, with predictions that bridge scales from genes to connectivity to function.
URL:https://cmsa.fas.harvard.edu/event/colloquium-42125/
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-4.21.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250415T161500
DTEND;TZID=America/New_York:20250415T181500
DTSTAMP:20260430T151458
CREATED:20250407T173801Z
LAST-MODIFIED:20250415T133227Z
UID:10003735-1744733700-1744740900@cmsa.fas.harvard.edu
SUMMARY:Instantons on Taub-NUT space and Bow Construction
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeaker: Anadil Saeed Rao\, Northeastern University \nTitle: Instantons on Taub-NUT space and Bow Construction \nAbstract: In this talk I will discuss Yang-Mills Instantons in a very special geometric setting: the Taub-NUT space\, which itself is a Gravitational Instanton. In the first part of the talk I will review the essentials of gravitational instanton theory from the differential geometry/physics perspective and discuss the geometry of Taub-NUT space in detail. Then I will review the essentials of the ADHM-Nahm construction which describe Instantons and Monopoles in Euclidean R^4 and R^3 respectively. In the second part of my talk I will extend the ADHM-Nahm description to Instantons on Taub-NUT space and show how the ADHM-Nahm data may be presented in terms of combinatorial diagrams called Bows and their representations.
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_41525/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Geometry-Quantum-Theory_4.15.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250414T163000
DTEND;TZID=America/New_York:20250414T173000
DTSTAMP:20260430T151458
CREATED:20241209T163821Z
LAST-MODIFIED:20250410T204704Z
UID:10003635-1744648200-1744651800@cmsa.fas.harvard.edu
SUMMARY:Quantum K-theory at roots of unity
DESCRIPTION:Colloquium \nSpeaker: Andrey Smirnov\, University of North Carolina at Chapel Hill \nTitle: Quantum K-theory at roots of unity \nAbstract: In this talk\, I will discuss a version of quantum K-theory introduced by A.Okounkov\, which can be defined through quasimap counts. In this framework\, the quantum K-theory ring is obtained as a specialization of the equivariant quasimap count at $q=1$\, where $q$ is the equivariant parameter associated with the torus action on the source of the quasimaps. A related\, but less explored\, structure emerges when $q$ is specialized at the roots of unity. I will outline the key ideas behind this construction and its implications. As an application\, I’ll also describe the spectrum of $p$-curvature for the quantum connection\, which offers a new proof of a recent result by P.Etingof and A.Varchenko. This talk is based on joint work with P. Koroteev.
URL:https://cmsa.fas.harvard.edu/event/colloquium-41425/
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-4.14.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250407T163000
DTEND;TZID=America/New_York:20250407T173000
DTSTAMP:20260430T151458
CREATED:20241209T163727Z
LAST-MODIFIED:20250401T191454Z
UID:10003634-1744043400-1744047000@cmsa.fas.harvard.edu
SUMMARY:3-d Mirror Symmetry
DESCRIPTION:Colloquium \nSpeaker: Ben Webster\, University of Waterloo & Perimeter Institute \nTitle: 3-d Mirror Symmetry \nAbstract: I’ll give an introduction (or update\, for those who’ve been introduced) to 3d mirror symmetry from the perspective of a mathematician. \n 
URL:https://cmsa.fas.harvard.edu/event/colloquium-4725/
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-4.7.2025.docx-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250401T161500
DTEND;TZID=America/New_York:20250401T181500
DTSTAMP:20260430T151458
CREATED:20250331T192830Z
LAST-MODIFIED:20250331T201035Z
UID:10003729-1743524100-1743531300@cmsa.fas.harvard.edu
SUMMARY:Introduction to the probabilistic approach to Louville theory III
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeaker: Bowen Yang\, CMSA \nTitle: Introduction to the probabilistic approach to Louville theory III \nAbstract: I will continue with the construction of Liouville CFT from probabilistic methods\, following a review by Guillarmou\, Kupiainen\, and Rhodes (arXiv:2403.12780). The talk will emphasize technical aspects of Gaussian free fields (GFF) and contrast them with Brownian motion. The references is arXiv:2004.04720
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_4125/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Geometry-Quantum-Theory-4.1.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250324T163000
DTEND;TZID=America/New_York:20250324T173000
DTSTAMP:20260430T151458
CREATED:20241209T163216Z
LAST-MODIFIED:20250321T163829Z
UID:10003631-1742833800-1742837400@cmsa.fas.harvard.edu
SUMMARY:The Toda Lattice as a Soliton Gas
DESCRIPTION:Colloquium \nSpeaker: Amol Aggarwal\, Columbia University \nTitle: The Toda Lattice as a Soliton Gas \nAbstract: A basic tenet of integrable systems is that\, under sufficiently irregular initial data\, they can be thought of as dense collections of many solitons\, or “soliton gases.” In this talk we focus on the Toda lattice\, which is an archetypal example of an integrable Hamiltonian dynamical system. We explain how the system\, under certain random initial data\, can be interpreted through solitons\, and provide a framework for studying how these solitons asymptotically evolve in time. The arguments use ideas from random matrix theory\, particularly the analysis of Lyapunov exponents governing the decay rates of eigenvectors of random tridiagonal matrices.
URL:https://cmsa.fas.harvard.edu/event/colloquium-32425/
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-3.24.2025.docx.final_.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250311T161500
DTEND;TZID=America/New_York:20250311T181500
DTSTAMP:20260430T151458
CREATED:20250310T160401Z
LAST-MODIFIED:20250331T193628Z
UID:10003722-1741709700-1741716900@cmsa.fas.harvard.edu
SUMMARY:Introduction to the probabilistic approach to Louville theory
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeaker: Leon Liu\, Harvard \nTitle: Introduction to the probabilistic approach to Louville theory \nAbstract: I will give an introduction to the probabilistic approach to Louville theory\, following Hairer’s notes.
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_31125/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Geometry-Quantum-Theory-3.11.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250303T163000
DTEND;TZID=America/New_York:20250303T173000
DTSTAMP:20260430T151458
CREATED:20241209T163145Z
LAST-MODIFIED:20250218T153212Z
UID:10003630-1741019400-1741023000@cmsa.fas.harvard.edu
SUMMARY:Large value estimates in number theory and computer science
DESCRIPTION:Colloquium \nSpeaker: Larry Guth\, MIT \nTitle: Large value estimates in number theory and computer science \nAbstract: A large value estimate for a matrix M is a simple type of estimate in quantitative linear algebra. Estimates of this type appear in many parts of math\, both pure and applied. One example is the large value problem for Dirichlet polynomials from analytic number theory\, which is related to estimates about the zeroes of the Riemann zeta function. We will also give some examples from computer science. Many large value problems are difficult. On the pure math side\, the sharp conjecture about large values of Dirichlet polynomials has been open for a long time and is out of reach of current methods. On the computer science side\, we don’t know any efficient algorithm to approximately solve the large value problem for a given matrix M. Many experts think that such an algorithm does not exist. In this talk we will survey how large value estimates come up\, the known methods for working on them\, and some of the obstacles to fully understanding them. \n 
URL:https://cmsa.fas.harvard.edu/event/colloquium-3325/
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-3.3.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250225T161500
DTEND;TZID=America/New_York:20250225T181500
DTSTAMP:20260430T151458
CREATED:20250124T152655Z
LAST-MODIFIED:20250210T174635Z
UID:10003671-1740500100-1740507300@cmsa.fas.harvard.edu
SUMMARY:Algebras of "symmetries" in QFT and applications to solitons (2)
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeaker: Dan Freed\, Harvard CMSA and Math \nTitle:  Algebras of “symmetries” in QFT and applications to solitons (2) \nhttps://arxiv.org/abs/2403.08883
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_22525/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Geometry-Quantum-Theory-2.25.2025.2.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250218T161500
DTEND;TZID=America/New_York:20250218T181500
DTSTAMP:20260430T151458
CREATED:20250124T152555Z
LAST-MODIFIED:20250210T174514Z
UID:10003670-1739895300-1739902500@cmsa.fas.harvard.edu
SUMMARY:Algebras of "symmetries" in QFT and applications to solitons (1)
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeaker: Dan Freed\, Harvard CMSA and Math \nTitle:  Algebras of “symmetries” in QFT and applications to solitons (1) \nhttps://arxiv.org/abs/2403.08883
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_21825/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Geometry-Quantum-Theory-2.18.2025.1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250211T161500
DTEND;TZID=America/New_York:20250211T181500
DTSTAMP:20260430T151458
CREATED:20250124T152335Z
LAST-MODIFIED:20250204T212412Z
UID:10003654-1739290500-1739297700@cmsa.fas.harvard.edu
SUMMARY:Discussion of Integrating quantum groups over surfaces
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeaker: Ben Gammage\, Harvard University \nTitle: Discussion of Integrating quantum groups over surfaces \nhttps://arxiv.org/abs/1501.04652
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_21125/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Geometry-Quantum-Theory-2.11.2025.png
END:VEVENT
END:VCALENDAR