几何研讨班：From signature of symmetric matrices to eta invariant

中科院数学与系统科学研究院

数学研究所

学术报告

几何研讨班

报告人：Prof. Xiaonan Ma (Jussieu)

题  目：From signature of symmetric matrices to eta invariant

时  间：2023.12.21（星期四）10:00-11:00

地  点：数学院南楼N913

摘 要：The eta invariant of an elliptic operator is the infinite dimensional analogue of the signature of a symmetric matrix. We will give an introduction on the eta invariant, in particular how it is naturally appeared in the index theorem for manifolds with boundary. When there is a compact Lie groupe action, we will explain that  its equivariant version, the equivariant eta invariant, as a function on the group,  is not a continue function. We will describe its singularities.