Seminario del 2025

Aprile
22
2025
Matthieu Joseph
Representation theory of non-Archimedean Polish groups and dissociation
nell'ambito della serie: LOGIC, CATEGORIES, AND APPLICATIONS SEMINAR
logica
sistemi dinamici
algebra e geometria
For a countable homogeneous structure M, a natural question in representation theory is the classification of unitary representations of the Polish, non-archimedean group Aut(M). This question was completely answered by Tsankov for ω-categorical structures. In joint work with R. Barritault and C. Jahel, we generalize this result and go beyond ω-categoricity by addressing structures such as the integral/rational Urysohn space and the integral/rational universal diversity. We will explain how the notion of dissociation, a structural property of unitary representation for Polish non-archimedean groups, is used in our work. No background knowledge of representation theory will be assumed for this talk.
organizzato da: Martino Lupini
nell'ambito del Progetto Fondi U.E. ERC DAT CUP J33C22004270006 G.A. 101077154 DEFINABLE ALGEBRAIC TOPOLOGY del prof. Martino Lupini

indietro