Infinite-Dimensional Geometry with Symmetry - SIAM SAGA Seminar

Explore infinite-dimensional geometry with symmetry in this 46-minute seminar presented by Jan Draisma from Bern University and Eindhoven University of Technology. Delve into how certain results in algebraic geometry survive when a large symmetry group is imposed, despite most theorems breaking down in infinite dimensions. Discover the relevance of this phenomenon in applications where algebraic models form infinite families with highly symmetric infinite-dimensional limits. Learn about the role of infinite symmetric and general linear groups in capturing symmetry, and how theorems about the limit imply uniform behavior across family members. Gain insights into older and new results in this field, along with their applications to algebraic statistics, tensor decomposition, and algebraic combinatorics. The seminar is moderated by Joachim Rosenthal from the University of Zurich and is part of the Society for Industrial and Applied Mathematics' SAGA series.