Tue, November 12, 2024
1:50 pm - 2:50 pm
Journalism Building - JR0274
Beibei Liu
The Ohio State University
Title
Rigidity of convex cocompact diagonal actions
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.