## EVENT DETAILS AND ABSTRACT

**Analysis Seminar**
**Title:** The Atiyah-Patodi-Singer index on manifolds with non-compact boundary

**Speaker:** Maxim Braverman

**Speaker Info:** Northeastern

**Brief Description:**

**Special Note**: **Note earlier than usual time, special location**

**Abstract:**

We study the index of the APS boundary value problem for a strongly Callias-type operator D on a complete Riemannian manifold M. We use this index to define the relative eta-invariant of two strongly Callias-type operators A and A', which are equal outside of a compact set. Even though in our situation the eta-invariants of A and A' are not defined, the relative eta-invariant behaves as if it were the difference of the eta-invariants of A and A'. We also define the spectral flow of a family of such operators and use it compute the variation of the relative eta-invariant. (Joint work with Pengshuai Shi)

**Date:** Monday, October 23, 2017

**Time:** 3pm

**Where:** Parkes Hall 212

**Contact Person:** Prof. Jared Wunsch

**Contact email:** jwunsch@math.northwestern.edu

**Contact Phone:** 847-491-5580

Copyright © 1997-2024
Department of Mathematics, Northwestern University.