Odeljenje za matematiku, 9. avgust 2024.

Naredni sastanak Seminara biće održan u petak, 9. avgusta 2024. godine, u sali 301f Matematičkog instituta SANU sa početkom u 16.15 časova.
 
Predavač: Kyle Gannon, BICMR, Peking University, Beijing
 
Naslov predavanja: GENERICALLY STABLE IDEMPOTENT MEASURES IN ABELIAN GROUPS
 
Apstrakt: Given a locally compact topological group, there is a correspondence between idempotent probability measures and compact subgroups. An analogue of this correspondence continues into the model theoretic setting. In particular, if G is a stable group, then there is a one-to-one correspondence between idempotent Keisler measures and type-definable subgroups. The proof of this theorem relies heavily on the theory of local ranks in stability theory. Recently, we have been able to extend a version of this correspondence to the abelian setting. In this context, we prove that generically stable idempotent Keisler measures correspond to FSG subgroups. These results rely on recent work connecting generically stable measures to generically stable types over the randomization. This is joint work with Artem Chernikov and Krzysztof Krupinski.
 
Napomena: Predavanja se mogu pratiti na daljinu preko linka:
https://miteam.mi.sanu.ac.rs/call/T9XDGChhq8aDcNqmz/qw7wIwci2jv2rdg9I9CrXkm7OJhF_LB8DfjXZp4jTFV
 
Registraciona forma je dostupna na:
https://miteam.mi.sanu.ac.rs/asset/tz97w4Hu4c3unsJ7N


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