Seminar : Rigidity of convex cocompact diagonal actions

Location:IMS, RS408

Speaker: Beibei Liu, The Ohio State University

Abstract: Convex subsets in higher-rank symmetric spaces are pretty rigid compared to rank 1 symmetric spaces, as proved by Kleiner and Leeb. In this talk, I will talk about convex subsets in products of negatively curved Hadamard manifolds. In particular, we show the limit cone is 1-dimensional if the diagonal action is convex cocompact, which induces some rigidity result of the diagonal representation. This is joint work with Subhadip Dey.