报告题目：Family APS Index Theorem and Higher Spectral Flow

报告时间：2023-07-20  11:00-12:00

报告人：刘博 教授  华东师范大学

报告地点：理学院西北楼一楼报告厅

Abstract：In 1975, Atiyah-Patodi-Singer established the index theorem for manifold with boundary. The family extension of the APS index theorem was given by Bismut-Cheeger in invertible case and extended to the general case by Melrose-Piazza. The boundary term there is the eta form with perturbation. In this talk, we will generalize the eta form to the equivariant case for a fiberwise compact Lie group action and discuss the properties of it by using Dai-Zhang higher spectral flow. We will also discuss some other problems about the family index theorem with boundary.