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Combinatorics Seminar: Varieties of signature tensors February 04, 2019 (12:10 PM PST - 01:00 PM PST)
Parent Program: --
Location: UC Berkeley Math (Evans Hall 939)
Speaker(s) Bernd Sturmfels (University of California, Berkeley; Max-Planck-Institut für Mathematik in den Naturwissenschaften)
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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.

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