Rigidity of $SU(n)$-type symmetric spaces

Abstract: I show the biinvariant metric on $SU(2n+1)$ is isolated in the moduli space of Einstein metrics, even though it admits infinitesimal deformations. This gives a non-K\”ahler, non-product example of this phenomenon adding to the famous example of $\mathbb{CP}^{2n}\times \mathbb{CP}^1$ found by Koiso. Time permitting, I will also survey further applications of our techniques to questions concerning solitonic rigidity and the stability of Ricci flow. This is joint work with W. Batat, S.J. Hall and J. Waldron.

differential geometry

Audience: researchers in the topic

( video )

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Virtual seminar on geometry with symmetries

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

The seminar meets every other Wednesday. To accommodate most time zones, the time rotates. The Zoom link is sent to the mailing list around 24 hours before each talk. To subscribe to the mailing list, send a message to geometrywithsymmetries@gmail.com requiring it.

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