Colloquia & Seminars

Title: Higher current algebras and chiral algebras

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, because they re-express the vertex algebra axioms (which are rather sui generis, and therefore hard to generalize) as something more recognizable (a chiral algebra is a Lie algebra, of a sort). I will review this, and then go on to introduce a certain concrete model of the unit chiral algebra in higher dimensions. In higher dimensions one is forced to work up to coherent homotopy in some fashion;...

Title: Introduction to A-infty categories

Joint Math/CMSA Geometry and Quantum Theory Seminar Speaker: Ahsan Khan, Harvard CMSA Title: Introduction to A-infty categories Abstract: I will give a pedagogical account of A-infty categories and the various places they show up in mathematical physics.  

Title: Differential Geometry and Physics Seminar

Differential Geometry and Physics Seminar Speaker: François Greer, MSU

Title: Member Seminar

Member Seminar Speaker: Daniel Spiegel

Title: Compression Is All You Need: Modeling Mathematics

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 model where exact computations can be carried out and then compared with observation.  The models are finitely generated monoids and the data is derived from MathLib a large Lean-based repository. The hierarchical nature of definitions and lemmas in math is modeled by adding redundant generators to the monoids - think of the powers of 10 within the natural numbers which support place notation....

Title: Quantum Field Theory and Physical Mathematics

Quantum Field Theory and Physical Mathematics Seminar Speaker: Charles Young, University of Hertfordshire

Title: Colloquium

Colloquium Speaker: Ofer Feinerman, Weizmann Institute of Science    

Title: Joint Math/CMSA Geometry and Quantum Theory Seminar

Joint Math/CMSA Geometry and Quantum Theory Seminar Speaker: Lorenzo Riva, Harvard CMSA    

Title: Transcendental Epsilon Multiplicity via Divisor Volumes

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 local-cohomological definition of epsilon multiplicity to a global divisorial volume integral on a projective bundle, we apply Baker's theorem on linear forms in logarithms to prove that the resulting arithmetic invariant falls strictly outside the field of algebraic numbers. This talk is based on collaborative work with Vinh Pham and Stephen Landsittel.  

Title: Member Seminar

Member Seminar Speaker: tba

Title: Quantum Field Theory and Physical Mathematics

Quantum Field Theory and Physical Mathematics Seminar Speaker: Surya Raghaven, Yale University

Title: Colloquium

Colloquium Speaker: Nikita Nekrasov, Simons Center  

Title: Quantum Field Theory and Physical Mathematics

Quantum Field Theory and Physical Mathematics Seminar  

Title: Statistical Shape Analysis of Complex Natural Structures

Colloquium Speaker: Anuj Srivastava, Johns Hopkins University Title: Statistical Shape Analysis of Complex Natural Structures Abstract: 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...

Title: Algebra Seminar

Algebra Seminar Speaker: Aryaman Maithani, University of Utah Title/Abstract: TBA