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Talk

Algebraic structures for cumulants in non-commutative probability theory

  • Kurusch Ebrahimi-Fard (Norwegian University of Science and Technology, Trondheim)
E1 05 (Leibniz-Saal)

Abstract

In this talk, we will discuss several algebraic structures relevant to the concise description of relations between the R- and S-transforms in non-commutative probability theory. This includes shuffle, pre- and post-Lie algebras. We will focus on Dykema’s so-called twisted factorisation formula for Voiculescu's S-transform, which can be understood in an operadic framework.

Based on joint work F. Patras (CNRS, Nice, FR) and N. Gilliers (IMT, Toulouse, FR).

Upcoming Events of this Seminar

  • Dienstag, 11.03.25 tba with Jianfeng Lu
  • Dienstag, 11.03.25 tba with Steffen Börm
  • Dienstag, 06.05.25 tba with Ilya Chevyrev
  • Dienstag, 03.06.25 tba with Mate Gerencser