School of Mathematics & Physics, University of Lincoln
On the 13th of March 2019, Dr Beth Romano (University of Cambridge) visited the Charlotte Scott Centre for Algebra in Lincoln and gave a talk on “Representations of p-adic groups via graded Lie algebras”.
Abstract: The structure of reductive p-adic groups arises from the interaction of Euclidean geometry and the arithmetic of p-adic fields. Reeder and Yu have built on this interaction to give a construction of certain “epipelagic” representations. Their construction has many benefits, but set of vectors that may be used as input for the construction is not well understood. I will talk about on-going work to classify this set, as well as its relationship to Vinberg–Levy theory of graded Lie algebras in characteristic p.