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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260514T160000
DTEND;TZID=America/New_York:20260514T170000
DTSTAMP:20260610T201733
CREATED:20260330T154547Z
LAST-MODIFIED:20260502T220412Z
UID:10003926-1778774400-1778778000@cmsa.fas.harvard.edu
SUMMARY:Polynomial invariants of conjugation over finite fields
DESCRIPTION:Algebra Seminar \nSpeaker: Aryaman Maithani\, University of Utah \nTitle: Polynomial invariants of conjugation over finite fields\n\nAbstract: Consider the conjugation action of GL₂(K) on the polynomial ring K[X₂ₓ₂].\nWhen K is an infinite field\, the ring of invariants is a polynomial ring generated by the trace and the determinant.\nWe describe the ring of invariants when K is a finite field\, and show that it is a hypersurface.\n  \n 
URL:https://cmsa.fas.harvard.edu/event/algebra-seminar_51426/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Algebra Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Algebra-Seminar-5.14.26.2.docx-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260511T163000
DTEND;TZID=America/New_York:20260511T173000
DTSTAMP:20260610T201733
CREATED:20251223T190403Z
LAST-MODIFIED:20260409T200727Z
UID:10003848-1778517000-1778520600@cmsa.fas.harvard.edu
SUMMARY:Statistical Shape Analysis of Complex Natural Structures
DESCRIPTION:Colloquium \nSpeaker: Anuj Srivastava\, Johns Hopkins University \nTitle: Statistical Shape Analysis of Complex Natural Structures \nAbstract: Statistical modeling and analysis of structured data is a fast-growing field in Statistics and Data Science. Rapid advances in imaging techniques have led to tremendous amounts of data for analyzing imaged objects across several scientific disciplines. Examples include shapes of cancer cells\, botanical trees\, human biometrics\, 3D genome\, brain anatomical structures\, crowd videos\, nano-manufacturing\, and so on. Shapes are relevant even in non-imaging data contexts\, e.g.\, the shapes of COVID rate curves or the shapes of activity cycles in lifestyle data. Imposing statistical models and inferences on shapes seems daunting because the shape is an abstract notion and one requires precise mathematical representations to quantify shapes. This talk has two parts. In the first part\, I will present some recent developments in “elastic representations” of structures such as functions\, curves\, surfaces\, and graphs. In the second part\, I will focus on statistical analyses: computing shape summaries\, estimation under shape constraints\, hypothesis testing\, time-series models\, and regression models involving shapes. \n 
URL:https://cmsa.fas.harvard.edu/event/colloquium-51126/
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-5.11.2026.docx.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260511T150000
DTEND;TZID=America/New_York:20260511T160000
DTSTAMP:20260610T201733
CREATED:20260409T140454Z
LAST-MODIFIED:20260506T201809Z
UID:10003931-1778511600-1778515200@cmsa.fas.harvard.edu
SUMMARY:When do anomalous finite symmetries in (3+1)d enforce gaplessness?
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \nSpeaker: Matthew Yu (University of Oxford) \nTitle: When do anomalous finite symmetries in (3+1)d enforce gaplessness? \nAbstract: I will explain a comprehensive framework for characterizing the infrared (IR) phases of a fermionic QFTs in (3+1)d\, based on their quantum anomalies associated with a finite symmetry. We uncover a fundamental dichotomy among these anomalies: the first class of anomalies can always be realized by symmetric gapped states\, while the second class can never be realized by gapped states without breaking the given symmetry\, establishing the phenomenon of symmetry-enforced gaplessness in these settings. Using the construction of symmetry extension afforded to us by new developments in fusion 2-categories\, we construct the candidate gapped states that theories with the first class of anomalies can flow to in the IR. As an application\, I will provide examples of concrete predictions for the candidate IR phases of (3+1)d gauge theories based on our results. \n 
URL:https://cmsa.fas.harvard.edu/event/qft_51126/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Field Theory and Physical Mathematics
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QFT-and-Physical-Mathematics-5.11.26.docx-1-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260508T120000
DTEND;TZID=America/New_York:20260508T130000
DTSTAMP:20260610T201733
CREATED:20260506T194023Z
LAST-MODIFIED:20260506T203007Z
UID:10003943-1778241600-1778245200@cmsa.fas.harvard.edu
SUMMARY:From Poincaré/Koszul duality to (twisted) AdS/CFT correspondence
DESCRIPTION:Member Seminar \nSpeaker: Keyou Zeng \nTitle: From Poincaré/Koszul duality to (twisted) AdS/CFT correspondence \nAbstract: Poincaré duality is a fundamental result in the (co)homology theory of manifolds. It has many applications in topology and vast generalizations to other types of “spaces\,” such as singular/stratified spaces and schemes. In this talk\, I will discuss a variant of Poincaré duality for factorization algebras\, also known as Koszul duality. At the end of the talk\, I will relate this notion to a mathematical formulation of what physicists call the AdS/CFT correspondence\, as proposed by Costello and Li. \n 
URL:https://cmsa.fas.harvard.edu/event/member-seminar-5826/
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-5.8.26.1.docx-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260504T163000
DTEND;TZID=America/New_York:20260504T173000
DTSTAMP:20260610T201733
CREATED:20260323T160718Z
LAST-MODIFIED:20260421T135719Z
UID:10003923-1777912200-1777915800@cmsa.fas.harvard.edu
SUMMARY:Dynamics as intersection problem
DESCRIPTION:Colloquium \nSpeaker: Nikita Nekrasov\, Simons Center \nTitle: Dynamics as intersection problem \nAbstract: Most classical and quantum field theories are based on an action principle. However\, there are important exceptions to this — hydrodynamics and the theory of self-dual fields. In this talk we formulate the covariant relativistic fluid dynamics\, with or without magnetic fields\, as well as the theory of chiral boson in 1+1 dimensions\, self-dual tensor in 1+5 dimensions\, and self-dual four-form of IIB supergravity\, in terms of intersection theory of an auxiliary phase space. This provides a common covariant geometric framework for systems without a conventional action\, while at the same time laying the groundwork for quantization via the Kontsevich approach. Joint work with Paul Wiegmann. \n  \n 
URL:https://cmsa.fas.harvard.edu/event/colloquium-5426/
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-5.4.2026.docx.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260504T150000
DTEND;TZID=America/New_York:20260504T160000
DTSTAMP:20260610T201733
CREATED:20260126T190454Z
LAST-MODIFIED:20260430T170629Z
UID:10003880-1777906800-1777910400@cmsa.fas.harvard.edu
SUMMARY:Twisted D-branes and TQFTs valued in Calabi-Yau categories
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \nSpeaker: Surya Raghavendran\, Yale University \nTitle: Twisted D-branes and TQFTs valued in Calabi-Yau categories \nAbstract: Recently\, Bozec–Calaque–Scherotzke have articulated a noncommutative version of the AKSZ construction\, which associates to a smooth Calabi–Yau category a fully extended TQFT valued in a category of iterated Calabi–Yau cospans. In this talk\, I will study a class of examples of such theories which arise in the context of conjectures of Costello and Li\, which describe Type II strings in certain Ramond–Ramond backgrounds as topological strings. These TQFTs capture structural features of the BPS physics of D-branes that are universal in Chan–Paton factors. Conjecturally commutative limits of the values of such theories on closed manifolds can sometimes be geometrically quantized to yield algebraic structures with Hall-type products. Examples of this paradigm include CoHAs associated to complex 3-folds\, CoHAs attached to local systems on 3-manifolds\, and the categorified Hall algebras of Porta–Sala.
URL:https://cmsa.fas.harvard.edu/event/qft_5426/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Field Theory and Physical Mathematics
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QFT-and-Physical-Mathematics-5.4.26.docx.edit_-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260501T120000
DTEND;TZID=America/New_York:20260501T130000
DTSTAMP:20260610T201733
CREATED:20260212T190507Z
LAST-MODIFIED:20260430T140830Z
UID:10003908-1777636800-1777640400@cmsa.fas.harvard.edu
SUMMARY:Lifting F-split surfaces to the Witt vectors
DESCRIPTION:Member Seminar \nSpeaker: Iacopo Brivio\, CMSA \nTitle: Lifting F-split surfaces to the Witt vectors\n\nAbstract: Algebraic varieties in positive characteristic are ill behaved compared to characteristic zero ones. Several important tools available over the complex numbers\, such as the Hodge decomposition theorem\, are either not available or straight-away false. There are two important classes of positive characteristic varieties which have better behavior: Witt liftable varieties and Frobenius split varieties. A folklore conjecture predicts that the latter class is contained in the former. In a joint work with Bernasconi\, Kawakami and Witaszek we proved that this is the case for surfaces. I will give an overview of this result as well as some applications thereof.\n  \n 
URL:https://cmsa.fas.harvard.edu/event/member-seminar-5126/
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-5.1.26.docx.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260427T163000
DTEND;TZID=America/New_York:20260427T173000
DTSTAMP:20260610T201733
CREATED:20260324T172426Z
LAST-MODIFIED:20260420T154505Z
UID:10003924-1777307400-1777311000@cmsa.fas.harvard.edu
SUMMARY:Enacted collective cognition: Brainless problem-solving in weaver ants
DESCRIPTION:Colloquium \nSpeaker: Ofer Feinerman\, Weizmann Institute of Science \nTitle: Enacted collective cognition: Brainless problem-solving in weaver ants \nAbstract: Unlike most ants\, weaver ants construct their nests by pulling together leaves. Because individual ants are small relative to the leaves\, they assemble their bodies into temporary tools that bend the leaves into a hollow structure\, later stabilized with larval silk. Remarkably\, they achieve functional nests across a wide range of leaf shapes and configurations\, suggesting that this distributed system is capable of solving complex\, open-ended problems.\nTo understand how this is possible\, we performed laboratory experiments using controlled leaf configurations. In simple cases\, we show that ants can rely on a zipping heuristic that produces closed nests\, and we use differential geometry to demonstrate how flexible leaves are transformed into rigid structures. Crucially\, this zipping behavior forms a feedback loop in which ants continuously read and modify the evolving structure. In this sense\, the nest itself functions as a shared physical information system.\nThis suggests that cognition in this system is not located within individual ants\, but is enacted through the co-dynamics of the colony and the structure it builds. We present preliminary experiments with more complex leaf configurations\, showing that this process can solve increasingly challenging construction problems. Together\, these results point to a distributed\, brainless\, and enactive form of cognition. \n  \n 
URL:https://cmsa.fas.harvard.edu/event/colloquium-42726/
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-4.27.2026-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260424T120000
DTEND;TZID=America/New_York:20260424T130000
DTSTAMP:20260610T201733
CREATED:20260212T190445Z
LAST-MODIFIED:20260420T151342Z
UID:10003907-1777032000-1777035600@cmsa.fas.harvard.edu
SUMMARY:The Intermingling of Symmetry and Parametrization in Matrix Product States
DESCRIPTION:Member Seminar \nSpeaker: Daniel Spiegel \nTitle: The Intermingling of Symmetry and Parametrization in Matrix Product States \nAbstract: In the study of quantum spin systems\, it is by now well-known that interesting phases of quantum matter can arise from gapped ground states when the system is invariant under a symmetry group G or when the system varies continuously with a parameter in a topological space X. In these cases\, phases are characterized by indices taking values in group cohomology of G or the cohomology of X\, respectively. The situation where one has both a symmetry and a parametrization is much less studied but can lead to interesting phases even when both the aforementioned indices are trivial. In this talk\, I will discuss work in progress on a simple construction for general index for symmetry protected parametrized systems of matrix product states and will show some illustrative examples.
URL:https://cmsa.fas.harvard.edu/event/member-seminar-42426/
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-4.24.26-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260423T133000
DTEND;TZID=America/New_York:20260423T143000
DTSTAMP:20260610T201733
CREATED:20260128T184941Z
LAST-MODIFIED:20260421T144522Z
UID:10003884-1776951000-1776954600@cmsa.fas.harvard.edu
SUMMARY:Boundedness for K-trivial varieties with fibrations
DESCRIPTION:Differential Geometry and Physics Seminar  \nSpeaker: François Greer\, MSU \nTitle: Boundedness for K-trivial varieties with fibrations \nAbstract: According to the Beauville-Bogomolov decomposition theorem\, any smooth K-trivial variety admits a finite cover by a product of (1) abelian varieties\, (2) strict Calabi-Yau varieties\, and (3) irreducible holomorphic symplectic varieties (IHSV). In a fixed dimension\, all abelian varieties are diffeomorphic\, and indeed deformation equivalent through non-algebraic complex tori. The corresponding question remains largely open for cases (2) and (3). If we assume that a variety of class (2) or (3) admits a non-trivial fibration structure\, then much more can be shown. In particular\, fibered Calabi-Yau threefolds have bounded moduli problem\, and IHSV of a fixed dimension with a Lagrangian fibration have bounded moduli. This is based on joint work with Engel\, Filipazzi\, Mauri\, and Svaldi. \n\n  \n 
URL:https://cmsa.fas.harvard.edu/event/dgphys_42326/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Differential Geometry and Physics Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/DG-Physics-Seminar-4.23.26.docx.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260422T090000
DTEND;TZID=America/New_York:20260422T103000
DTSTAMP:20260610T201733
CREATED:20260130T191058Z
LAST-MODIFIED:20260430T205709Z
UID:10003887-1776848400-1776853800@cmsa.fas.harvard.edu
SUMMARY:CMSA/Tsinghua Math-Science Literature Lecture: Nicolai Reshetikhin (Tsinghua): Asymptotic representation theory
DESCRIPTION:CMSA/Tsinghua Math-Science Literature Lecture \nDate: April 22\, 2026 \nTime: 9:00 – 10:30 am ET \nLocation: via Zoom Webinar \nSpeaker: Nicolai Reshetikhin\, Yau Mathematical Sciences Center\, Tsinghua University \nTitle: Asymptotic representation theory \nAbstract: Loosely speaking asymptotic representation theory studies representations of “large” groups or algebras. One of the first results in this direction is the study of Plancherel measures on the symmetric group $S_N$ in the limit $N\to \infty$ by Vershik and Kerov and Logan and Shepp. The first part of the talk will be an overview of results on statistics of irreducible representations in large tensor products. Then we focus on more modern results on statistics of tilting and projective modules in large tensor products and on how some problems in asymptotic representation theory are related to dimer models in statistical mechanics. \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  \n 
URL:https://cmsa.fas.harvard.edu/event/mathscilit2026_nr/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Mathlit_Reshetikhin.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260420T150000
DTEND;TZID=America/New_York:20260420T160000
DTSTAMP:20260610T201733
CREATED:20260210T203936Z
LAST-MODIFIED:20260420T142242Z
UID:10003899-1776697200-1776700800@cmsa.fas.harvard.edu
SUMMARY:Zigzags\, adjoints\, and bordisms
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \nSpeaker: Lorenzo Riva (Harvard CMSA) \nTitle: Zigzags\, adjoints\, and bordisms \nAbstract: We will learn how to freely add adjoints to a category using a combinatorial procedure which involves drawing zigzags of squares. Peculiarly\, we can use these to draw some bordisms. This is joint work with Martina Rovelli.
URL:https://cmsa.fas.harvard.edu/event/qft_4202026/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Field Theory and Physical Mathematics
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QFT-and-Physical-Mathematics-4.20.26-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260417T120000
DTEND;TZID=America/New_York:20260417T130000
DTSTAMP:20260610T201733
CREATED:20260212T190403Z
LAST-MODIFIED:20260409T160741Z
UID:10003906-1776427200-1776430800@cmsa.fas.harvard.edu
SUMMARY:Higgs and Coulomb branches: Geometry and Representation Theory
DESCRIPTION:Member Seminar \nSpeaker: Vasily Krylov \nTitle: Higgs and Coulomb branches: Geometry and Representation Theory \nAbstract: Higgs and Coulomb branches of quiver gauge theories form two important families of Poisson varieties that are expected to be exchanged under so-called 3D mirror symmetry. Quantized Coulomb branches are associative algebras deforming the algebras of functions on Coulomb branches. They are closely related to many important representation-theoretic structures\, such as Yangians\, quantum groups\, and Hecke algebras. In this talk\, I will discuss how 3D mirror symmetry\, together with other insights motivated by physics\, yields very explicit answers to purely representation-theoretic questions about representations of some of these quantum groups. Talk is based on joint works with Dinkins\, Karpov\, Klyuev\, and Lance.
URL:https://cmsa.fas.harvard.edu/event/member-seminar-41726/
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-4.17.26.docx.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260410T120000
DTEND;TZID=America/New_York:20260410T130000
DTSTAMP:20260610T201733
CREATED:20260212T190254Z
LAST-MODIFIED:20260330T200409Z
UID:10003905-1775822400-1775826000@cmsa.fas.harvard.edu
SUMMARY:Quantum topology from dynamics
DESCRIPTION:Member Seminar \nSpeaker: Sunghyuk Park\, CMSA \nTitle: Quantum topology from dynamics \nAbstract: Dynamics studies the long-term behavior of systems that evolve over time\, such as the famous Lorenz system.\nQuantum topology\, by contrast\, studies knots and low-dimensional manifolds through invariants that are usually constructed using representation-theoretic tools. In this talk\, I will explain how quantum invariants of knots and 3-manifolds can be recovered from the dynamics of certain three-dimensional flows. Time permitting\, I will also explain how this new bridge arises from ideas in topological string theory. \n 
URL:https://cmsa.fas.harvard.edu/event/member-seminar-41026/
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-4.10.26-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260409T160000
DTEND;TZID=America/New_York:20260409T170000
DTSTAMP:20260610T201733
CREATED:20260310T170229Z
LAST-MODIFIED:20260310T192334Z
UID:10003917-1775750400-1775754000@cmsa.fas.harvard.edu
SUMMARY:Multiplicities of graded families of ideals on Noetherian local rings
DESCRIPTION:Algebra Seminar \nSpeaker: Dale Cutkosky\, University of Missouri \nTitle: Multiplicities of graded families of ideals on Noetherian local rings \nAbstract: Let $R$ be an arbitrary $d$-dimensional Noetherian local ring with maximal ideal $m_R$. In this talk\, we give a generalization of the multiplicity $e(I)$ of an $m_R$-primary ideal $I$ of $R$ to a multiplicity $e(\mathcal I)$ of a graded family of $m_R$-primary ideals $\mathcal I$ in $R$. This multiplicity gives the classical multiplicity $e(I)$ if $\mathcal I=\{I^n\}$ is the $I$-adic filtration\, and agrees with the volume\, $\lim_{n\rightarrow \infty}d!\frac{\ell(R/I_n) }{n^d}$ for $R$ such that $\dim N(\hat R)>d$\, the required condition for the volume of graded families of $m_R$-primary ideals to exist as a limit. We will show that many of the classical theorems for the multiplicity of an ideal generalize to this multiplicity\, including mixed multiplicities\, the Rees theorem and the Minkowski inequality and equality. We give proofs which are independent of the theory of volumes and Okounkov bodies for all of our results\, with the one exception being the proof of the Minkowski equality. We do this by interpreting the multiplicity of graded families of $m_R$-primary ideals as an intersection product on the family of $R$-schemes which are obtained by blowing up $m_R$-primary ideals in $R$. \n 
URL:https://cmsa.fas.harvard.edu/event/algebra-seminar_4926/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Algebra Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Algebra-Seminar-4.9.26.docx-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260406T163000
DTEND;TZID=America/New_York:20260406T173000
DTSTAMP:20260610T201733
CREATED:20251223T190645Z
LAST-MODIFIED:20260402T152156Z
UID:10003851-1775493000-1775496600@cmsa.fas.harvard.edu
SUMMARY:Facets of link homology
DESCRIPTION:Colloquium \nSpeaker: Mikhail Khovanov\, Johns Hopkins University \nTitle: Facets of link homology \nAbstract: We will review some link homology theories of algebraic origin and their connections to representation theory and geometry.
URL:https://cmsa.fas.harvard.edu/event/colloquium-22326/
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-4.6.2026.docx.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260406T150000
DTEND;TZID=America/New_York:20260406T160000
DTSTAMP:20260610T201733
CREATED:20260224T161017Z
LAST-MODIFIED:20260401T201808Z
UID:10003912-1775487600-1775491200@cmsa.fas.harvard.edu
SUMMARY:Twistorial constructions of higher genus integrability
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \nSpeaker: Seraphim Jarov\, Perimeter Institute \nTitle: Twistorial constructions of higher genus integrability \nAbstract: I will present a new method to engineer integrable models in 4d with higher genus spectral parameters. The method has a twistorial origin – by working on a branched covering of twistor space\, I show how one can derive deformations of holomorphic BF theory on twistor space which descend to elliptic and hyperelliptic models on R^4 via the Penrose transform. I show how one can bootstrap the Penrose transformed actions using symmetry and integrability to find deformations of self-dual Yang-Mills theory. I will also discuss some novel deformations of a BF type description of Hitchin’s equations. This is based on my paper: 2509.12486
URL:https://cmsa.fas.harvard.edu/event/qft_4626/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Field Theory and Physical Mathematics
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QFT-and-Physical-Mathematics-4.6.26.docx.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260403T120000
DTEND;TZID=America/New_York:20260403T130000
DTSTAMP:20260610T201733
CREATED:20260212T190229Z
LAST-MODIFIED:20260331T190743Z
UID:10003904-1775217600-1775221200@cmsa.fas.harvard.edu
SUMMARY:Failures of Holographic Emergence
DESCRIPTION:Member Seminar \nSpeaker: Elliott Gesteau\, CMSA \nTitle: Failures of Holographic Emergence \nAbstract: Recent developments have taught us that some semiclassical spacetimes\, in particular those containing closed universe components\, cannot emerge from a holographic correspondence. In this talk\, I will explain how one can get to this conclusion by using either quantum information theory or properties of the large N limit of AdS/CFT\, and propose a criterion for detecting failures of spacetime emergence. \n 
URL:https://cmsa.fas.harvard.edu/event/member-seminar-4326/
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-4.3.26.docx.1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260330T150000
DTEND;TZID=America/New_York:20260330T160000
DTSTAMP:20260610T201733
CREATED:20260126T190411Z
LAST-MODIFIED:20260325T163011Z
UID:10003879-1774882800-1774886400@cmsa.fas.harvard.edu
SUMMARY:K-theoretic stable envelopes\, quantum loop groups and wall-crossings
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \nSpeaker: Tianqin Zhu\, Columbia University \nTitle: K-theoretic stable envelopes\, quantum loop groups and wall-crossings \nAbstract: The stable envelope is an important tool in both geometric representation theory and the enumerative geometry. One of the most important application is that it generates the geometric quantum loop group via the FRT formalism. In this talk\, we will show that the geometric quantum loop group is isomorphic to the Drinfeld double given by the preprojective K-theoretic Hall algebra and the nilpotent K-theoretic Hall algebra. Moreover we will show a more refined result that the wall-crossing for the K-theoretic stable envelope is controlled by the universal R-matrix for the slope subalgebra of the Drinfeld double\, which leads to the isomorphism between the wall subalgebra in geometric quantum loop groups and the slope subalgebras in the Drinfeld double. If time permits\, I will talk about the recent progress of such isomorphism in the case of the critcial stable envelopes in both critical K-theory and critical cohomology. This is based on the work 2511.02161 \n 
URL:https://cmsa.fas.harvard.edu/event/qft_33026/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Field Theory and Physical Mathematics
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QFT-and-Physical-Mathematics-3.30.26.docx.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260326T160000
DTEND;TZID=America/New_York:20260326T170000
DTSTAMP:20260610T201733
CREATED:20260127T192705Z
LAST-MODIFIED:20260310T192236Z
UID:10003883-1774540800-1774544400@cmsa.fas.harvard.edu
SUMMARY:The Beilinson-Bloch conjecture for some non-isotrivial varieties over global function fields
DESCRIPTION:Algebra Seminar \nSpeaker: Matt Broe\, Boston University \nTitle: The Beilinson-Bloch conjecture for some non-isotrivial varieties over global function fields \nAbstract: The Beilinson-Bloch conjecture is a generalization of the Birch and Swinnerton-Dyer conjecture\, which relates the ranks of Chow groups of smooth projective varieties over global fields to the order of vanishing of L-functions. We prove the conjecture for certain classes of non-isotrivial varieties over Fq(t)\, including some cubic threefolds and fivefolds. We deduce the Birch and Swinnerton-Dyer conjecture for their intermediate Jacobians\, and use it to establish new cases of the Tate conjecture over finite fields. \n 
URL:https://cmsa.fas.harvard.edu/event/algebra-seminar_32626/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Algebra Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Algebra-Seminar_3.26.26.docx-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260326T133000
DTEND;TZID=America/New_York:20260326T143000
DTSTAMP:20260610T201733
CREATED:20260323T144545Z
LAST-MODIFIED:20260324T172207Z
UID:10003921-1774531800-1774535400@cmsa.fas.harvard.edu
SUMMARY:Gauge theory on Hyperkähler manifolds
DESCRIPTION:Differential Geometry and Physics Seminar  \nSpeaker. Emily Autumn Windes (New Uzbekistan University) \nTitle: Gauge theory on Hyperkähler manifolds \nAbstract: In this talk\, I describe various distinguished classes of connections on Hyperkähler manifolds and their dimensional reductions. Then\, I describe a construction of new examples of Sp(2)-instantons\, primitive HYM connections\, and Spin(7)-instantons with symmetry on the manifold T*CP2. This talk is based on joint work with Jesse Madnick and Izar Alonso.
URL:https://cmsa.fas.harvard.edu/event/dgphys_32627/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Differential Geometry and Physics Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/DG-Physics-Seminar-3.26.26.docx-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260319T160000
DTEND;TZID=America/New_York:20260319T170000
DTSTAMP:20260610T201733
CREATED:20260127T192620Z
LAST-MODIFIED:20260310T190851Z
UID:10003882-1773936000-1773939600@cmsa.fas.harvard.edu
SUMMARY:Moduli of subcanonical points
DESCRIPTION:Algebra Seminar \nSpeaker: Dawei Chen\, Boston College \nTitle: Moduli of subcanonical points \nAbstract: Subcanonical points are special Weierstrass points on smooth algebraic curves whose semigroups are symmetric. In this talk\, I will explain the rich geometry of the moduli space of subcanonical points\, with a focus on its connected components\, birational geometry\, topology\, and the deformation theory of related monomial singularities.
URL:https://cmsa.fas.harvard.edu/event/algebra-seminar_31926/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Algebra Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Algebra-Seminar-3.19.26.docx-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260316T150000
DTEND;TZID=America/New_York:20260316T160000
DTSTAMP:20260610T201733
CREATED:20260224T160950Z
LAST-MODIFIED:20260311T180714Z
UID:10003911-1773673200-1773676800@cmsa.fas.harvard.edu
SUMMARY:Finite N indices from branes and negative branes
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \nSpeaker: Kasia Budzik (Harvard University) \nTitle: Finite N indices from branes and negative branes \nAbstract: Finite-N effects in large-N gauge theories\, such as trace relations\, are expected to be holographically dual to non-perturbative phenomena in string theory\, such as Giant Graviton branes. A convenient setting to study these effects are supersymmetric indices of U(N) gauge theories. The finite-N indices can be reproduced by a series of corrections to the infinite-N result\, known as the Giant Graviton expansion.\nIn this talk I will present a generalization of the Molien-Weyl formula computing generating functions of invariants of supergroups U(N|M)\, which arise as gauge groups of brane/negative brane systems in string theory. The formula leads to a new expansion relating finite-N and infinite-N indices of U(N) gauge theories. I will comment on its relation to Murthy’s Giant Graviton expansion and suggest a physical interpretation in terms of branes and negative branes. This talk is based on arXiv:2509.20451 and work in progress with Davide Gaiotto.
URL:https://cmsa.fas.harvard.edu/event/qft_31626/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Field Theory and Physical Mathematics
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QFT-and-Physical-Mathematics-3.16.26.docx-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260312T133000
DTEND;TZID=America/New_York:20260312T143000
DTSTAMP:20260610T201733
CREATED:20260309T143543Z
LAST-MODIFIED:20260309T161222Z
UID:10003915-1773322200-1773325800@cmsa.fas.harvard.edu
SUMMARY:Strongly adapted contact geometry of Anosov 3-flows
DESCRIPTION:Differential Geometry and Physics Seminar  \nSpeaker: Surena Hozoori (Brandeis) \nTitle: Strongly adapted contact geometry of Anosov 3-flows \nAbstract: We will discuss some recent developments in the contact geometric theory of Anosov 3-flows\, whose roots go back to the works of Mitsumatsu and Eliashberg-Thurston in the mid 1990s. In particular\, we provide a contact geometric characterization of Anosov 3-flows based on interactions with Reeb dynamics\, as well as investigate the basic properties of the resulting geometries. Time permitting\, we will discuss how these results allow one to re-approach some classical questions in Anosov dynamics.
URL:https://cmsa.fas.harvard.edu/event/dgphys_31226/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Differential Geometry and Physics Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/DG-Physics-Seminar-3.12.26-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260302T163000
DTEND;TZID=America/New_York:20260302T173000
DTSTAMP:20260610T201733
CREATED:20260206T191834Z
LAST-MODIFIED:20260224T141143Z
UID:10003890-1772469000-1772472600@cmsa.fas.harvard.edu
SUMMARY:Inverse problems in soft and active matter
DESCRIPTION:Colloquium \nSpeaker: L. Mahadevan\, Harvard \nTitle: Inverse problems in soft and active matter \nAbstract: How can one grow a face or a flower from a flat sheet? Fold a sheet into an origami pattern? Control phase separation? Transport a drop of active matter?  Steer an ant swarm? I will discuss potential answers to some of these inverse problems that unites ideas from optimal control and optimal transport for the steering of particles and fields.
URL:https://cmsa.fas.harvard.edu/event/colloquium-3226/
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-3.2.2026.docx-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260227T120000
DTEND;TZID=America/New_York:20260227T130000
DTSTAMP:20260610T201733
CREATED:20251223T204714Z
LAST-MODIFIED:20260223T194128Z
UID:10003867-1772193600-1772197200@cmsa.fas.harvard.edu
SUMMARY:Gauge theory\, from low dimensions to higher dimensions and back
DESCRIPTION:Member Seminar \nSpeaker: Saman Habibi Esfahani\, CMSA \nTitle: Gauge theory\, from low dimensions to higher dimensions and back \nAbstract: Almost thirty years ago\, Donaldson and Thomas proposed extending powerful ideas from gauge theory\, which had transformed the study of three- and four-dimensional manifolds\, to higher dimensions\, with the goal of defining new invariants of special holonomy manifolds. In this talk\, I will outline the main ideas behind this program\, mention some recent progress\, and describe the key obstacles that remain\, most notably non-compactness phenomena that make the analysis difficult.
URL:https://cmsa.fas.harvard.edu/event/member-seminar-22726/
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-2.27.26-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260226T133000
DTEND;TZID=America/New_York:20260226T143000
DTSTAMP:20260610T201733
CREATED:20260122T151917Z
LAST-MODIFIED:20260220T171301Z
UID:10003876-1772112600-1772116200@cmsa.fas.harvard.edu
SUMMARY:Higher Symmetries\, Eta Invariants and Anomaly Theories 
DESCRIPTION:Differential Geometry and Physics Seminar  \nSpeaker: Mirjam Cvetic\, University of Pennsylvania \nTitle: Higher Symmetries\, Eta Invariants and Anomaly Theories \nAbstract: In recent years\, much progress has been made in understanding the extra-dimensional origin of higher symmetry structures of many quantum field theories (QFTs) obtained via geometric engineering. Among others\, our understanding of anomaly structures in QFTs has been significantly improved. Key in these considerations is the asymptotic boundary of the internal dimensions which geometrizes many topological QFT features. Within this context we present explicit results for anomaly coefficients in five-dimensional supersymmetric QFTs that are engineered in M-theory on Calabi-Yau three-folds\, and show that eta-invariants of the asymptotic boundary of the engineered geometry are key to determine 1-form self-anomaly coefficients. The results both for orbifolds with isolated and non-isolated orbifold singularities are presented. \n 
URL:https://cmsa.fas.harvard.edu/event/dgphys_22626/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Differential Geometry and Physics Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/DG-Physics-Seminar-2.26.26-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260225T140000
DTEND;TZID=America/New_York:20260225T150000
DTSTAMP:20260610T201733
CREATED:20260210T192336Z
LAST-MODIFIED:20260210T194238Z
UID:10003894-1772028000-1772031600@cmsa.fas.harvard.edu
SUMMARY:Scaling Stochastic Momentum from Theory to LLMs
DESCRIPTION:New Technologies in Mathematics Seminar \nSpeaker: Courtney Paquette\, McGill University \nTitle: Scaling Stochastic Momentum from Theory to LLMs \nAbstract: Given the massive scale of modern ML models\, we now often get only a single shot to train them effectively. This limits our ability to sweep architectures and hyperparameters\, making it essential to understand how learning algorithms scale so insights from small models transfer to large ones. \nIn this talk\, I present a framework for analyzing scaling laws of stochastic momentum methods using a power-law random features model\, leveraging tools from high-dimensional probability and random matrix theory. We show that standard SGD with momentum does not improve scaling exponents\, while dimension-adapted Nesterov acceleration (DANA)—which explicitly adapts momentum to model size and data/target complexity—achieves strictly better loss and compute scaling. DANA does this by rescaling its momentum parameters with dimension\, effectively matching the optimizer’s memory to the problem geometry. \nMotivated by these theoretical insights\, I introduce logarithmic-time scheduling for large language models and propose ADANA\, an AdamW-like optimizer with growing memory and explicit damping. Across transformer scales (45M to 2.6B parameters)\, ADANA yields up to 40% compute savings over tuned AdamW\, with gains that improve at scale. \nBased on joint work with Damien Ferbach\, Elliot Paquette\, Katie Everett\, and Gauthier Gidel.
URL:https://cmsa.fas.harvard.edu/event/newtech_22526/
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-2.25.2026.docx-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260220T120000
DTEND;TZID=America/New_York:20260220T130000
DTSTAMP:20260610T201733
CREATED:20251223T204654Z
LAST-MODIFIED:20260217T154410Z
UID:10003866-1771588800-1771592400@cmsa.fas.harvard.edu
SUMMARY:Theory of Task-Adapted Dynamics in Large Recurrent Neural Networks
DESCRIPTION:Member Seminar \nSpeaker: Blake Bordelon\, CMSA \nTitle: Theory of Task-Adapted Dynamics in Large Recurrent Neural Networks \nAbstract: Recurrent neural networks (RNNs) encode expressive and flexible dynamical systems which can adapt to perform tasks by modifying the internal connections between neurons. In this work we analyze the structure of the dynamical systems encoded in RNNs after being trained to perform a learning task. We derive a mean field theory of the dynamics of RNNs before and after learning. Our theory predicts heterogeneous activity and tuning of single neurons\, but precise\, deterministic predictions for population level autocorrelation and outputs of the network. Further\, our theory enables us to interpolate between different operating regimes for RNN learning including (1) reservoir computing regime where internal adaptations do not adapt to data as the model outputs fit the provided data and (2) a feature-learning where the internal dynamics of the network change significantly due to task learning and reflect temporal properties of the learning task. These different regimes exhibit different levels of chaotic activity\, oscillatory behaviors\, and length generalization properties as feature learning enables maintenance of temporal patterns over longer periods than the supervision period. We apply this theory to a biologically grounded motor learning task where a recurrent population is trained to output EMG signals from macaque motor units during an oriented reaching task. We find that many levels of feature-learning strength give rise to high quality fits of the EMG data\, resulting in a family of solutions that are compatible with the neural data. Based on work with David Clark\, Jacob Zavatone Veth\, and Cengiz Pehlevan.
URL:https://cmsa.fas.harvard.edu/event/member-seminar-22026/
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-2.20.26.docx-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260219T153000
DTEND;TZID=America/New_York:20260219T163000
DTSTAMP:20260610T201733
CREATED:20260209T003754Z
LAST-MODIFIED:20260209T193802Z
UID:10003891-1771515000-1771518600@cmsa.fas.harvard.edu
SUMMARY:Constructing oriented TQFTs from twisted pivotal tensor categories
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeaker: William Stewart \nTitle: Constructing oriented TQFTs from twisted pivotal tensor categories \nAbstract: The cobordism hypothesis classifies n-dimensional oriented TQFTs in terms of SO(n) homotopy fixed point data. An SO(2) homotopy fixed point structure on a finite tensor category gives rise to a twisted pivotal structure (a more general notion than a pivotal structure). In this talk\, I will illustrate how the usual skein theory (also called string nets) of a pivotal tensor category can be generalized to the twisted pivotal setting\, yielding new 2d oriented TQFTs. This is joint work with Ben Haioun and Filippos Sytilidis.
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_21926/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Geometry and Quantum Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Geometry-Quantum-Theory-2.19.26-scaled.png
END:VEVENT
END:VCALENDAR