Differential Geometry and Physics Seminar Speaker: François Greer, MSU Title: Boundedness for K-trivial varieties with fibrations Abstract: 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 […]
Member Seminar Speaker: Daniel Spiegel Title: The Intermingling of Symmetry and Parametrization in Matrix Product States Abstract: 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 […]
Freedman Seminar Speaker: Mike Freedman, Harvard CMSA Title: Compression Is All You Need: Modeling Mathematics Abstract: The talk will exposit a recent eponymous arXiv posting with coauthors Vitaly Aksenov, Eve Bodnia, and Mike Mulligan. The approach is to think like a physicist and model a seemingly complex bit of reality: mathematics, by a simple toy […]
Quantum Field Theory and Physical Mathematics Seminar Speaker: Charles Young (University of Hertfordshire) Title: Higher current algebras and chiral algebras Abstract: Vertex algebras capture physicists' notion of OPEs in chiral CFTs, in complex dimension one. For various motivations, one would like to have analogs of vertex algebras in higher dimensions. Chiral algebras, in the sense of Beilinson-Drinfeld and Francis-Gaitsgory, provide a natural framework here, […]
Colloquium Speaker: Ofer Feinerman, Weizmann Institute of Science Title: Enacted collective cognition: Brainless problem-solving in weaver ants Abstract: 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 […]
Joint Math/CMSA Geometry and Quantum Theory Seminar Speaker: Lorenzo Riva, Harvard CMSA
Algebra Seminar Speaker: Sudipta Das, Tata Institute of Fundamental Research Title: Transcendental Epsilon Multiplicity via Divisor Volumes Abstract: In this talk, our goal is to establish a structural bridge between asymptotic commutative algebra and transcendence theory to show that there exists an ideal in a Noetherian local ring whose epsilon multiplicity is transcendental. By equating the […]
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Quantum Field Theory and Physical Mathematics Seminar Speaker: Surya Raghaven, Yale University
Colloquium Speaker: Nikita Nekrasov, Simons Center Title: Dynamics as intersection problem Abstract: 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 […]
New Technologies in Mathematics Seminar Speaker: Tatsunori Hashimoto, Stanford Title: New directions in synthetic data Abstract: Synthetic data has been an effective, if boring set of techniques: prompt some language model to restructure your corpus to match some downstream task, with occasionally some distillation. In this talk, we will take a more expansive view of […]
Quantum Field Theory and Physical Mathematics Seminar