[Settfa] CANCELLED: Seminar Tuesday 5 Mar, Rob Sullivan

[Wieslaw Kubis]

Dear all,

Unfortunately we have to cancel tomorrow's seminar, the speaker got sick 
and cannot come.

All the best,

Wieslaw




Dne 02. 03. 24 v 9:00 kubis at math.cas.cz napsal(a):
> Set Theory and Analysis
>
> Tuesday, 5 March 2024 - 10:00 to 11:30
> Place: IM, konírna
>
> Speaker: Rob Sullivan, Universität Münster
> Title: Generic embeddings into Fraïssé structures
>
> Abstract
>
> This project, in the writing-up stage, is work with A. Codenotti 
> (Münster), A. Panagiotopoulos (Vienna) and J.Winkel.
>
>
> Let M be a Fraïssé structure, and let A be a countably infinite 
> structure which is embeddable in M. If M has free amalgamation, then 
> there exists a Katetov embedding of A into M: an embedding such that 
> each automorphism of A extends to an automorphism of M. Is this 
> embedding "common" or "uncommon"?
>
>
> To answer this, we investigate generic embeddings of A into M. An 
> embedding of A into M is said to be generic if it lies in a comeagre 
> set inside the Polish space Emb(A, M).
>
>
> We will answer the following three questions:
>
>
> - When are two embeddings of A into M generically isomorphic via an 
> automorphism of M?
>
>
> - When is A generically corigid (i.e. Aut(M/A) trivial)?
>
>
> - Let g lie in Aut(A). When is g generically extensible to an 
> automorphism of M?
>
>
> We will also provide a wide range of examples in the context of these 
> three questions.
>
> For more information see the seminar web page at
> https://www.math.cas.cz/index.php/events/seminar/6
>
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