Anja Meyer (University of Loughborough): Finite Matrix Groups; Cohomology, and Stable Elements
Abstract: In their 1956 book Cartan and Eilenberg present results which tell us that the modular cohomology of a finite group G is equal to the set of stable elements in the modular cohomology of a Sylow p-subgroup of G. In this talk we will look at the groups SL_2(Z/p^n) for n>1 and p an odd prime. Their cohomology is not yet known, however there is a way to obtain the cohomology, using a combination of tools from homological algebra, profinite group theory, and fusion systems. We will introduce the concepts used and show how they can facilitate the explicit computations.
More details available on https://londonalgebra.wordpress.com/