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CMSA Q and A Seminar Speakers: Michael Douglas (CMSA) and Mayuko Yamashita (Kyoto University) Topics: Michael Douglas: "What is non-commutative field theory?" Mayuko Yamashita: "What is differential cohomology?"
42 events found.
Colloquia & Seminar
Events
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https://youtu.be/Sc6k06wVX3s New Technologies in Mathematics Seminar Speaker: François Charton, Meta AI Title:  Transformers for maths, and maths for transformers Abstract: Transformers can be trained to solve problems of mathematics. I present two recent applications, in mathematics and physics: predicting integer sequences, and discovering the properties of scattering amplitudes in a close relative of Quantum ChromoDynamics. Problems of […] |
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Member Seminar Speaker:Â Kai Xu (CMSA) Title: Moduli of vector bundles on curve and semiorthogonal decomposition Abstract: In this talk we construct semiorthogonal decompositions of moduli of vector bundles on a curve into its symmetric powers. The essential ingredients in the proof include Borel-Weil-Bott theory for loop groups, derived Schur-Weyl duality for current groups and derived […] |
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Speaker: Yu-Shen Lin (Boston University) Title: Gravitational Instantons Abstract: Gravitational instantons were introduced by Hawking as building blocks of his Euclidean quantum gravity theory back in the 1970s. These are non-compact Calabi-Yau surfaces with L2 curvature and thus can be viewed as the non-compact analogue of K3 surfaces. K3 surfaces are 2-dimensional Calabi-Yau manifolds and […] |
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CMSA Q and A Seminar Speakers: Dan Freed (Harvard Math & CMSA) and Dan Berwick-Evans (University of Illinois at Urbana-Champaign) Topics: Dan Freed: What is framing anomaly? How is it different from other anomalies? Dan Berwick-Evans: What is Atiyah-Singer index theorem? |
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Member Seminar Speaker:Â Benjamin McKenna Title:Â Random matrices and large deviations Abstract:Â We give a generalist overview of random matrices and their (a)typical behaviors. In recent years, classical results have been complemented by a variety of new ones, in both the math and physics literatures, whose proofs leverage connections with special integrals over matrix groups. Some of these […] |
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CMSA Q and A Seminar Speakers: Dan Freed (Harvard Math and CMSA) and Sunghyuk Park (CMSA) Topics: Dan Freed:Â What is Dijkgraaf-Witten theory? Sunghyuk Park:Â What happened at the Clay Math Institute Workshop? |
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https://youtu.be/u-pkmdkQoMU New Technologies in Mathematics Seminar Speaker: Alex Gu, MIT Dept. of EE&CS Title:Â LeanDojo: Theorem Proving with Retrieval-Augmented Language Models Abstract:Â Large language models (LLMs) have shown promise in proving formal theorems using proof assistants such as Lean. However, existing methods are difficult to reproduce or build on, due to private code, data, and large compute […] |
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Member Seminar Speaker: Puskar Mondal (CMSA) Title:Â On the Breakdown of Einstein's Gravity Abstract:Â It is important to understand under which conditions, the solutions of non-linear hyperbolic PDEs break down in finite time. In the context of Einstein's gravity, this is very closely tied to naked singularity formation and Penrose's weak cosmic censorship conjecture. In this talk, […] |
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Speaker: Joel D. Hamkins (Notre Dame and Oxford) Title: An exploration of infinite games—infinite Wordle and the Mastermind numbers Abstract: Let us explore the nature of strategic reasoning in infinite games, focusing on the cases of infinite Wordle and infinite Mastermind. The familiar game of Wordle extends naturally to longer words or even infinite words in an […] |
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https://youtu.be/M25cbX5do8Y New Technologies in Mathematics Seminar Speaker: Yuanzhi Li, CMU Dept. of Machine Learning and Microsoft Research Title: Physics of Language Models: Knowledge Storage, Extraction, and Manipulation Abstract: Large language models (LLMs) can memorize a massive amount of knowledge during pre-training, but can they effectively use this knowledge at inference time? In this work, we show several striking […] |
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Member Seminar Speaker: Daniel Kapec (CMSA) Title:Â Black Holes as Quantum Systems Abstract:Â To an outside observer, a black hole appears to be an ordinary quantum mechanical system with finite entropy and highly chaotic internal dynamics. Nevertheless, the low-temperature thermodynamics of the Kerr black hole presents several puzzles. For instance, the leading order semiclassical approximation to the […] |
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Speaker:Â Boaz Barak (Harvard) Title:Â On Provable Copyright Protection for Generative Model Abstract:Â There is a growing concern that learned conditional generative models may output samples that are substantially similar to some copyrighted data C that was in their training set. We give a formal definition of near access-freeness (NAF) and prove bounds on the probability that a […] |
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CMSA Q and A Seminar Speakers: Xi Yin (Harvard Physics) and Peter Kronheimer (Harvard Math) Topics: Xi Yin: What is string field theory? Peter Kronheimer: What is Seiberg-Witten theory? |
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https://youtu.be/bRHb-MVExJ4 New Technologies in Mathematics Seminar Speaker: Sean Welleck, CMU, Language Technologies Institute Title: Llemma: an open language model for mathematics Abstract: We present Llemma: 7 billion and 34 billion parameter language models for mathematics. The Llemma models are initialized with Code Llama weights, then trained on the Proof-Pile II, a 55 billion token dataset of […] |
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Member Seminar Speaker: Iacopo Brivio (CMSA) Title:Â Extension of pluricanonical forms in positive and mixed characteristics Abstract:Â The geometry of a complex manifold $X$ is to a large extent determined by its pluricanonical forms, i.e. global sections of $(\Omega^{\dim X}_X)^{\otimes m}$ for $m\geq 0$. A famous theorem of Siu states that when $X\to D$ is a smooth […] |
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Speaker: Manuel Cortés-Izurdiaga (University of Malaga) Title:  Homotopy categories of rings: some properties and consequences in module categories Abstract: Given a non-necessarily commutative ring with unit and an additive subcategory of the category of right modules, one can consider complexes of modules in the subcategory and the corresponding homotopy category. Sometimes, these homotopy categories are the […] |
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Member Seminar Speaker: Zi Yang Kang Title:Â Deformations of Landau-Ginzburg models and their fibers Abstract: In mirror symmetry, the dual object to a Fano variety is a Landau-Ginzburg model. Broadly, a Landau-Ginzburg model is quasi-projective variety Y with a superpotential function w, but not all such pairs correspond to Fano varieties under mirror symmetry, so a […] |
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