Rigidity to second order of compact irreducible symmetric spaces

Abstract: In the 1980s Koiso showed that only 5 types of compact irreducible symmetric space admit infinitesimal Einstein deformations; he also developed an obstruction to such deformations being integrable to second order but left the calculation of this obstruction on these spaces open. I will report on work of the last few years that computes the obstruction on these spaces and what this says about the rigidity of compact irreducible symmetric spaces. This is joint work with Wafaa Batat, Thomas Murphy, Paul Schwahn, Uwe Semmelmann, and James Waldron.

differential geometry

Audience: researchers in the topic

Virtual seminar on geometry with symmetries

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

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