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Comments on Non-Invertible Symmetries in K3 CFTs and the Conway Moonshine Module

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Quantum Field Theory and Physical Mathematics Seminar Speaker: Sarah Harrison, Northeastern Title: Comments on Non-Invertible Symmetries in K3 CFTs and the Conway Moonshine Module Abstract: There is an established connection between discrete symmetry groups of K3 non-linear sigma models and a distinguished N=1 chiral SCFT called the Conway moonshine module. More specifically, all symmetry groups […]

Positive scalar curvature with point singularities

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

https://youtu.be/m9B003wQ0PY General Relativity Seminar Speaker: Rudolf Zeidler, Mathematical Institute, University of Münster Title: Positive scalar curvature with point singularities Abstract: I will explain a certain topological construction of positive scalar curvature metrics with uniformly Euclidean ($L^\infty$) point singularities. This provides counterexamples to a conjecture of Schoen. It also shows that there are metrics with uniformly Euclidean […]

Introduction to the probabilistic approach to Louville theory

Science Center 507 1 Oxford Street, Cambridge

Geometry and Quantum Theory Seminar Speaker: Leon Liu, Harvard Title: Introduction to the probabilistic approach to Louville theory Abstract: I will give an introduction to the probabilistic approach to Louville theory, following Hairer's notes.

Discovery in Mathematics with Automated Conjecturing

Hybrid - G10

New Technologies in Mathematics Seminar Speaker: Randy Davila, RelationalAI and Rice University Title: Discovery in Mathematics with Automated Conjecturing Abstract: Automated conjecturing is a form of artificial intelligence that applies heuristic-driven methods to mathematical discovery. Since the late 1980s, systems such as Fajtlowicz’s Graffiti, DeLaViña’s Graffiti.pc, and TxGraffiti have collectively contributed to over 130 publications in mathematical […]

Freedman CMSA Seminar: Michael Freedman (CMSA) & Elia Portnoy (MIT)

Hybrid - G10

Freedman CMSA Seminar Speaker: Michael Freedman, Harvard CMSA (3:00–4:00 pm ET) Title: How many links can you fit in a box? Abstract: I’ll discuss a “made up” problem on the interface of topology and packing, which may well be classified as “recreational math”.  Here is the first question suppose you have a unit box, how many unlinked […]

Event Series Mathematical Physics and Algebraic Geometry Seminar

Verlinde’s formula in logarithmic conformal field theory

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Mathematical Physics and Algebraic Geometry Seminar Speaker: Thomas Creutzig (University of Alberta) Title: Verlinde's formula in logarithmic conformal field theory Abstract: Two-dimensional conformal field theories lead to rich mathematical structure. For example its chiral algebra is a vertex algebra and the axioms of rational conformal field theory define modular tensor categories. A highlight of this development […]

The Andersen-Kashaev volume conjecture for FAMED geometric triangulations  

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Quantum Field Theory and Physical Mathematics Seminar Speaker: Ka Ho Wong (Yale) Title: The Andersen-Kashaev volume conjecture for FAMED geometric triangulations Abstract: In the early 2010s, Andersen and Kashaev defined a TQFT based on quantum Teichmuller theory. In particular, they define a partition function for every ordered ideal triangulation of hyperbolic knot complement in $\mathbb{S}^3$ […]

The Toda Lattice as a Soliton Gas

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Colloquium Speaker: Amol Aggarwal, Columbia University Title: The Toda Lattice as a Soliton Gas Abstract: 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 […]

Unstable Fluids in Expanding Cosmologies

Virtual

General Relativity Seminar Speaker: Elliot Marshal, School of Mathematics at Monash University Title: Unstable Fluids in Expanding Cosmologies Abstract: The FLRW solution is the simplest cosmological model in general relativity, describing a fluid-filled, spatially homogeneous universe. While there is extensive literature in the physics community on cosmological models with a linear equation of state , rigorous […]

AlphaProof: when reinforcement learning meets formal mathematics

Virtual

New Technologies in Mathematics Seminar Speaker: Thomas Hubert (Google DeepMind) Title: AlphaProof: when reinforcement learning meets formal mathematics Abstract: Galileo, the renowned Italian astronomer, physicist, and mathematician, famously described mathematics as the language of the universe. Progress since only confirmed his intuition as the world we live in can be described with extreme precision with […]

Event Series Mathematical Physics and Algebraic Geometry Seminar

From quantum difference equations to Maulik-Okounkov quantum affine algebra

Virtual

Mathematical Physics and Algebraic Geometry Seminar *via Zoom only* Speaker: Tianqing Zhu (Tsinghua University) Title: From quantum difference equations to Maulik-Okounkov quantum affine algebra Abstract: Capping operator is one the core subject in the K-theoretic quasimap counting to quiver varieties. It has been shown by Okounkov and Smirnov that it satisfies a system of q-difference […]