Higher index theory and higher eta invariant on symmetric spaces

Yanli Song  (Washington University in St.Louis)

14:00-15:00, July 10, 2024   Science Building A503

Abstract:

I will first discuss some vanishing results of index theory and eta invariants on higher dimensional Euclidean spaces or more generally, higher rank symmetric spaces. In order to get non-trivial information, we have to develop higher index theory and higher eta invariants. In this talk, I will base on a very special example, that is, Euclidean spaces, in which everything can be computed in an explicit way.

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