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Pr. Pierre Mathieu (Aix-Marseille University) gives a mini-course for The G2PS research group

The G2PS research group successfully continues its work and presents a mini-course by Pr. Pierre Mathieu (Aix-Marseille University) «Random walks on hyperbolic groups».
The first mini-course workshop took place on February 13, 2020; 18:10-21:00 in the context of G2PS meetings.

Speaker: Pierre Mathieu (I2M, Universite d'Aix Marseille)

Title: Random walks on hyperbolic groups 
Abstract: In the first part of the talk, we will present some   classical results about random walks on hyperbolic groups. In the second part, some more recent developments will be discussed.

Date: February 13, 2020; 18:10-21:00
Venue: Pokrovsky boulevard, 11, R 208

The G2PS group (acronym stands for Geometry, Graph theory, Probability and Statistics) was created in 2019 by Laurent Beaudou and Quentin Paris under the patronage of the Faculty of Computer Science in HSE. Its interest is focused on questions arising from the analysis of data with a geometrical structure. While not restricted to this setting, we like to think about problems of discrete nature, especially those appearing in the context of graphs.
From a logistical point of view, weekly meetings alternate between formal presentations, mini-courses and brainstorming sessions on a specific problem. It is a specific wish to keep this group as informal as possible.
The starting point of this group has been the notion of curvature. This topological notion has been naturally studied in Geometry and renewed interest has been drawn to it via optimal transport (involving probability and statistics). Furthermore, a discrete notion of Ricci curvature has been adapted to graphs by Yann Ollivier. Thus, this curvature is right in the intersection of all areas of interest of G2PS. This group strives to understand this better both theoretically and in more applied settings. The notion of hyperbolicity in graphs is also definitely in the scope. A wider list of interests can be found on the website [1].
[1] www.g2ps.org