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Geometric Group Theory Seminar - Beibei Liu

Beibei
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.

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