The Geometry of Machine Learning

Mathematical Physics and Algebraic Geometry Seminar Speaker: Zichang Wang (Tsinghua University) Title: Stochastic Process and Noncommutative Geometry Abstract: We explain a stochastic approach to topological field theory and present a case study of quantum mechanical model and its relation to noncommutative geometry. For detail reference, see https://arxiv.org/abs/2501.12360    

Mathematical Physics and Algebraic Geometry Seminar Speaker: Wenjun Niu, Perimeter Institute Title: Quantum algebras and R-matrices from the equivariant affine Grassmannians Abstract: In this talk, I will explain my joint work with R. Abedin, in which we construct, for each Lie algebra g, a Hopf algebra and a spectral R-matrix satisfying quantum Yang-Baxter equation. This […]

Mathematical Physics and Algebraic Geometry Seminar Speaker: Damian Van de Heisteeg, Harvard CMSA Title: The Structure of the Flux Landscape Abstract: Identifying flux vacua in string theory with stabilized complex structure moduli presents a significant challenge, necessitating the minimization of a scalar potential complicated by infinitely many exponential corrections. In order to obtain exact results we […]

Mathematical Physics and Algebraic Geometry Seminar Speaker: Simone Noja (Heidelberg University) Title: The geometry of pure spinor superfield formalism Abstract: In this talk I will present a mathematical perspective on the pure spinor superfield formalism. In particular, I will discuss how field multiplets in supersymmetric theories can be constructed mathematically from geometric data associated with certain […]

Mathematical Physics and Algebraic Geometry Seminar Speaker: Wei Bu (Harvard University) Title: 2d chiral Lagrangian for asymptotic dynamics for 4d (self-dual) Einstein gravity Abstract: In this talk, I will present a simple chiral 2d Lagrangian living on a 2d celestial sphere on the null boundary of 4d Minkowski space and briefly mention its first principal […]