Functional relations for higher order free cumulants and moments

Sergey Shadrin (U Amsterdam)

Apr 27. 2023, 11:45 — 12:30

The goal of my talk is to give a formulation and, mostly important, an overview of the proof (I plan to explain the big steps and techniques used there) of the formulas that give functional relations between generating series of cumulants and moments in higher order free probability. If time permits, I'll explain some recent further developments and a universal role of these functional relations in the theory of matrix models and topological recursion.

Along the lines of my papers

2112.12184 (with Gaëtan Borot, Séverin Charbonnier, Elba Garcia-Failde, Felix Leid), 

2106.08368 (with Boris Bychkov, Petr Dunin-Barkowski, Maxim Kazarian),

and 2212.00320 (with Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski, Maxim Kazarian).

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Non-commutative Geometry meets Topological Recursion (Workshop)
Gaëtan Borot (HU Berlin)
Elba Garcia Failde (Sorbonne U, Paris)
Harald Grosse (U of Vienna)
Masoud Khalkhali (Western U, Ontario)
Hannah Markwig (U Tübingen)
Raimar Wulkenhaar (U Münster)