Student/Postdoc Working Geometry Seminar

Date: January 20, 2023

Time: 1:00PM - 2:30PM

Location: BLOC 628

Speaker: Tim Seynnaeve

Title: Signature tensors and their representation theory

Abstract: In stochastic analysis, the k-th signature of a path is a k-way tensor which encodes information about the path in a compact form. When the path varies, the signatures parametrize a subvariety of tensor space, giving a connection to algebraic geometry. In this talk I will present some recent results on varieties on signature tensors, and report on some work in progress (joint with Carlos Amendola, Francesco Galuppi, Angel Rios, and Pierpaola Santarsiero), where we look at these varieties through the lens of representation theory.