Workshop on Generic Structures

0555824 - MÚ 2022 RIV eng U - Uspořádání akce
Bice, Tristan - Kubiś, Wieslaw - Pech, Christian
Workshop on Generic Structures.
[Prague, 24.10.2021-30.10.2021, (W-WRD 49/26)]
Grant CEP: GA ČR(CZ) GX20-31529X
Institucionální podpora: RVO:67985840
Klíčová slova: mathematical structure * Fraïssé limits * generic structures
Obor OECD: Pure mathematics
https://gens.math.cas.cz/

A mathematical structure could be called generic if it can be built by an infinite process which is as complicated as possible. Such structures were first identified in model theory (Fraïssé limits), nevertheless, currently the most general framework is metric-enriched category theory. This framework allows for exploring generic structures appearing in topology and functional analysis, including C*-algebra theory. Perhaps one of the most important attributes of generic structures is their uniqueness, up to isomorphism. This leads to sometimes unexpected results showing that two arbitrary structures, sharing a certain mild extension property, are actually the same.
The workshop is devoted to recent results and current problems around the theory of generic structures. The aim is to gather specialists working in the area as well as students and young researchers interested in the topic.
Trvalý link: http://hdl.handle.net/11104/0330274