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SUMMARY:The space of traces of certain discrete groups - Raz Slutsky\, Wei
 zmann Institute of Science
DTSTART:20231011T124500Z
DTEND:20231011T134500Z
UID:TALK204352@talks.cam.ac.uk
CONTACT:Macarena Arenas
DESCRIPTION:A trace on a group is a positive-definite conjugation-invarian
 t function on it. These functions play an important role in harmonic analy
 sis of discrete groups\, and their study has found many exciting connectio
 ns to rigidity\, stability\, and dynamics in the past couple of decades. I
 n this talk\, I will explain these connections and focus on the topologica
 l structure of the space of traces of some groups. We will then see the di
 fferent behaviours of these spaces for free groups vs. higher-rank lattice
 s. Finally\, some open questions about free products and surface groups wi
 ll be presented. This is based on joint works with Arie Levit\, Joav Orovi
 tz and Itamar Vigdorovich.
LOCATION:MR4
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