Algebra seminar in Lincoln: talk by Dr Nick Gill

Charlotte Scott Centre for Algebra

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…

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