Charlotte Scott Centre for Algebra

School of Mathematics & Physics, University of Lincoln

Algebra seminar in Lincoln: talk by Dr Nick Gill

On Wednesday the 28th of November 2018, Dr Nick Gill (University of South Wales)  visited the Charlotte Scott Centre for Algebra in Lincoln and gave a talk  “Cherlin’s conjecture for finite binary permutation groups”.

Abstract: “A mathematical object C is called HOMOGENEOUS if any local symmetry can be extended to a symmetry of C itself. The category of vector spaces, for instance, is replete with homogeneous objects: if U_1 and U_2 are vector subspaces of V that are symmetric, i.e. there is an invertible linear transformation T between them, then we know that we can extend T to an invertible linear transformation V -> V.

In other categories, though, homogeneous objects are hard to find — for instance, if one considers the category of graphs, a classical theorem of Sheehan/ Gardiner tells us that there are only a couple of infinite families, plus a couple of sporadic examples. Our interest lies in understanding Gardiner’s theorem as a special case of a general theory concerning HOMOGENEOUS RELATIONAL STRUCTURES. This wider perspective allows us to (a) generalize Gardiner’s result; (b) understand the presence of sporadic examples in Gardiner’s result; (c) understand relational homogeneity for any finite permutation group.

This is joint work with Francesca Dalla Volta, Francis Hunt, Martin Liebeck and Pablo Spiga.”

One comment on “Algebra seminar in Lincoln: talk by Dr Nick Gill

  1. Evgeny Khukhro
    December 6, 2018

    Reblogged this on Maths & Physics News.


Leave a Reply

Fill in your details below or click an icon to log in: Logo

You are commenting using your account. Log Out /  Change )

Google photo

You are commenting using your Google account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s

This site uses Akismet to reduce spam. Learn how your comment data is processed.


This entry was posted on December 6, 2018 by in research, Seminar, Visitors.

Blog Stats

  • 26,487 hits


<span>%d</span> bloggers like this: