Charlotte Scott Centre for Algebra

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*.

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