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CMSA Member Seminar Speaker: Freid Tong (Harvard CMSA) Title: On complete Calabi-Yau metrics and Monge-Ampere equations Abstract: 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 […] |
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Arithmetic Quantum Field Theory Program Lecture Series Speaker: Minhyong Kim, University of Edinburgh Topic: Arithmetic topology and field theory Abstract: 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. Slides (pdf)
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Arithmetic Quantum Field Theory Program Lecture Series Speaker: Brian Williams, Boston University Topic: Algebraic quantum field theory Abstract: 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.
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Arithmetic Quantum Field Theory Program Lecture Series Speaker: David Ben-Zvi Topic: The Langlands program via arithmetic QFT Abstract: 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. |
1 event,CMSA Q and A Seminar Speaker: Greg Moore, Rutgers University Question: What is supersymmetry? |
3 events,
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https://youtu.be/SPfLEZ-Ghio New Technologies in Mathematics Seminar Speaker: Jordan Ellenberg (UW Madison) Title: Large language models, mathematical discovery, and search in the space of strategies: an anecdote Abstract: 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 […]
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Arithmetic Quantum Field Theory Program Lecture Series Speaker: Minhyong Kim, University of Edinburgh Topic: Arithmetic topology and field theory Abstract: 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. Slides (pdf)
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Arithmetic Quantum Field Theory Program Lecture Series Speaker: Brian Williams, Boston University Topic: Algebraic quantum field theory Abstract: 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. |
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Arithmetic Quantum Field Theory Program Lecture Series Speaker: Minhyong Kim, University of Edinburgh Topic: Arithmetic topology and field theory Abstract: 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. Slides (pdf)
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Arithmetic Quantum Field Theory Program Lecture Series Speaker: David Ben-Zvi Topic: The Langlands program via arithmetic QFT Abstract: 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. |
4 events,CMSA Member Seminar Speaker: Benjamin McKenna (Harvard) Title: The spectrum of some nonlinear random matrices Abstract: 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 […]
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Arithmetic Quantum Field Theory Program Lecture Series Speaker: Brian Williams, Boston University Topic: Algebraic quantum field theory Abstract: 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.
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Arithmetic Quantum Field Theory Program Lecture Series Speaker: David Ben-Zvi Topic: The Langlands program via arithmetic QFT Abstract: 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. |
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Colloquium Speaker: Petros Koumoutsakos, Harvard SEAS Title: Machine Learning and Scientific Computing: There is plenty of room in the middle Abstract: 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 […] |
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New Technologies in Mathematics Seminar Speaker: Preetum Nakkiran, Apple Title: What Algorithms can Transformers Learn? A Study in Length Generalization Abstract: 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 […] 
Quantum Matter in Mathematics and Physics Seminar Speaker: Sen Hu (Shanghai Institute for Mathematics and Interdisciplinary Study) Title: Quantum Algebra of Chern-Simons Matrix Model and Large N Limit Abstract: 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 […] |
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CMSA Member Seminar Speaker: Damian van de Heisteeg (Harvard CMSA) Title: Symmetries and algebraicity in the flux landscape Abstract: 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 […] |
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1 event,CMSA Q and A Seminar Speaker: Solomon Friedberg, Boston College Question: What is the Langlands program? |
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https://youtu.be/JB2WqmpmTgk New Technologies in Mathematics Seminar Speaker: Javier Gomez Serrano, Brown University Title: Computers and mathematics in partial differential equations: new developments and challenges Abstract: 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 […] |
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CMSA Member Seminar Speaker: Uri Kol (Harvard CMSA) Title: Integrability and Hidden Symmetries in Black Hole Dynamics Abstract: 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 […] |
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2 events,AQFT Lecture Series Speaker: Omer Offen (Brandeis) Title: Period integrals of automorphic forms and the residue method Abstract: 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 […] 
Colloquium Speaker: Clark Barwick, University of Edinburgh Title: Factorization algebras in quite a lot of generality Abstract: 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? […] |
3 events,AQFT Lecture Series Speaker: Wei Zhang (MIT) Title: Shtuka special cycles and their generating series |
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2 events,AQFT Lecture Series Speaker: Chen Wan, Rutgers Newark Title: Some examples of the relative Langlands duality Abstract: In this talk I will discuss some examples of the relative Langlands duality (introduced by Ben-Zvi—Sakellaridis—Venkatesh) for strongly tempered spherical varieties. In some cases, I will introduce a relative trace formula comparison for the models and prove the […] 
CMSA Member Seminar Speaker: Tomer Ezra (Harvard CMSA) Title: Contract Design in Combinatorial Settings Abstract: We study two combinatorial settings of the contract design problem, in which a principal wants to delegate the execution of a costly task. In the first setting, the principal delegates the task to an agent that can take any subset of a […] |
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