SEMINAR: Groups and Combinatorics Seminar, Nick Gill (University of South Wales) 16:00 Friday 08/09/2017 in Weatherburn LT
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Groups and Combinatorics Seminar, Nick Gill (University of South Wales) 16:00 Friday 08/09/2017 in Weatherburn LT |
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There will be refreshments in Maths & Stats tea room at 15:40, and we will go for drinks at the UWA Tavern or the UniClub after the seminar. All are most welcome.
Speaker: Nick Gill (University of South Wales)
Title: On Cherlin's conjecture for primitive binary groups
Time and place: 16:00 Friday 08/09/2017 in Weatherburn LT
Abstract: Roughly speaking, a permutation group G on a set X is called "binary" if one can calculate the orbits of G on X^n for any n once one knows the orbits of G on X^2. This definition was conceived in the 1990's by Cherlin who was interested in ideas coming out of model theory. He also formulated a conjecture which asserts that all primitive binary permutation groups lie in one of a number of known families.
Thanks to work by Cherlin himself, and by Wiscons, this conjecture has been reduced to a statement about almost simple groups. I will describe work with Francesco Dalla Volta (Milano-Bicocca), Francis Hunt (South Wales), Martin Liebeck (Imperial) and Pablo Spiga (Milano-Bicocca) which aims at resolving the conjecture in full. This work is group theoretic in nature.
I will also try and explain the model theoretic context of the conjecture, with a particular focus on Lachlan's theory of homogeneous relational structures.
Contact |
Stephen Glasby
<[email protected]>
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Start |
Fri, 08 Sep 2017 14:00
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End |
Fri, 08 Sep 2017 17:00
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Submitted by |
Stephen Glasby <[email protected]>
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Last Updated |
Tue, 05 Sep 2017 12:37
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