Higher rigidity properties of locally symmetric spaces
Homogeneous Dynamics and Anosov Representations April 20, 2026 - April 24, 2026
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Higher rigidity properties of locally symmetric spaces
We know that certain types of locally symmetric spaces are (very) rigid. What about Riemannian manifolds that look locally symmetric 99% of the time?
Rigidity phenomena for these types of spaces are related to higher property (T), representation stability and the existence of a non-sofic group. Not much is known, but I will describe one result in this direction: a rigidity theorem for branched covers of octonionic hyperbolic manifolds with small branching locus. Based on a joint work with Ben Lowe.
Higher rigidity properties of locally symmetric spaces
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