Seminar: Rigidity of convex cocompact diagonal actions

Seminar| Institute of Mathematical Sciences

Time:Thursday, July 10th, 2025,15:30-16:30

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.