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Finiteness of totally geodesic submanifolds

Hot Topics: Interactions between Harmonic Analysis, Homogeneous Dynamics, and Number Theory March 03, 2025 - March 07, 2025

March 04, 2025 (03:30 PM PST - 04:30 PM PST)
Speaker(s): David Fisher (Rice University)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Finiteness of totally geodesic submanifolds

Abstract

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I will give a survey of recent results on finiteness of totally geodesic submanifolds in negatively curved manifolds, both locally symmetric and not.  Some emphasis will be placed on open questions, particularly open questions about effective results.  If time permits I may mention some related questions about rigidity of commensurators.

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Finiteness of totally geodesic submanifolds

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