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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 258: Differential Geometry Seminar
Prof. Beibei Liu
Ohio State University
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 that the limit cone is 1-dimensional if the diagonal action is convex cocompact, which induces some rigidity-type results of the diagonal representation. This is joint work with Subhadip Dey.
Hosts: Ruobing Zhang and Tianyi Zheng
February 26, 2026
11:00 AM
APM 5829
Research Areas
Geometry and Topology****************************
