Counting homogeneous Einstein metrics

Renato Bettiol (City University of New York)

10-Dec-2025, 19:00-20:00 (4 weeks ago)

Abstract: I will describe an explicit upper bound on the number of isolated homogeneous Einstein metrics on compact homogeneous spaces whose isotropy representation has no repeated irreducibles. According to a conjecture of Böhm-Wang-Ziller, such homogeneous spaces ought to have only finitely many homogeneous Einstein metrics. Sufficient conditions under which this conjecture holds will also be discussed. This is joint work with Hannah Friedman (UC Berkeley).

differential geometry

Audience: researchers in the topic

( slides | video )


Virtual seminar on geometry with symmetries

Series comments: Description: Research seminar in Lie group actions in Differential geometry.

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Organizers: Fernando Galaz-García*, Carolyn Gordon, Ramiro Lafuente*, Emilio Lauret*
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