Seminar | February 4 | 12:10-1 p.m. | 939 Evans Hall | Note change in date
Bernd Sturmfels, UC Berkeley and Max Planck Institute
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.