Combinatorics Seminar: Varieties of signature tensors

Seminar | February 4 | 12:10-1 p.m. | 939 Evans Hall | Note change in date

 Bernd Sturmfels, UC Berkeley and Max Planck Institute

 Department of Mathematics

We discuss recent developments in combinatorial algebraic geometry that were motivated by the study of rough paths in stochastic analysis. Every path in a real vector space is encoded in a signature tensor whose entries are iterated integrals. As the path varies over a nice family, we obtain an algebraic variety with interesting properties. Combinatorialists will especially enjoy the role played by Lyndon words and free Lie algebras.