There will be an** ACPMS mini-workshop** on **Friday, November 5, 15:00-19:30 (Oslo time) **organised by Octavio Arizmendi Echegaray (CIMAT, Guanajuato, Mexico) and Kurusch Ebrahimi-Fard (NTNU Trondheim, Norway). This will be on topolocial recursion and combinatorics, with special emphasis also on the relation with various generalizations of free probability theory.

**Title**: Topological Recursion and Combinatorics

Topological recursion is a method of finding formulas for an infinite sequence of series or n-forms by means of describing them in a recursive way in terms of genus and boundary points of certain topological surfaces. While topological recursion was originally discovered in Random Matrix Theory, and could be traced back to the Harer-Zagier formula, it was until Chekhov, Eynard and Orantina (2007) that is was systematically studied. Since then it has found applications in different areas in mathematics and physics such as enumerative geometry, volumes of moduli spaces, Gromov-Witten invariants, integrable systems, geometric quantization, mirror symmetry, matrix models, knot theory and string theory. This 1/2-day series of seminar talks aims at exploring combinatorial aspects relevant to the theory of topological recursion in Random Matrix Models and to widen the bridge to free probability and its generalizations such as higher order freeness or infinitesimal freeness more transparent.

**Date, time and place**:

- November 5
- 3:00pm – 7:30pm (Oslo time),
- Zoom (for the link write to the organisers)

**Speakers: **

- Elba Garcia-Failde (Discussant: Reinier Kramer)
- Séverin Charbonnier (Discussant: Octavio Arizmendi)
- James Mingo (Discussant: Daniel Perales)
- Jonathan Novak (Discussant: Danilo Lewański)

**Titles, abstracts and schedule: **