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SEMINAR: Groups and Combinatorics Seminar, Nick Gill (University of South Wales) 16:00 Friday 08/09/2017 in Weatherburn LT

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Today's date is Friday, March 29, 2024
Groups and Combinatorics Seminar, Nick Gill (University of South Wales) 16:00 Friday 08/09/2017 in Weatherburn LT Other events...
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]>
Start Fri, 08 Sep 2017 14:00
End Fri, 08 Sep 2017 17:00
Submitted by Stephen Glasby <[email protected]>
Last Updated Tue, 05 Sep 2017 12:37
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