Uniform Lefschetz fixed point theorem
Speaker:
Daisuke Kishimoto, Kyushu University
Date and Time:
Thursday, July 31, 2025 - 10:40am to 11:30am
Location:
Fields Institute, Room 230
Abstract:
I will talk about joint work with Tsuyoshi Kato and Mitsunobu Tsutaya, in which we define the Lefschetz number of a uniformly continuous bounded self-map of a noncompact manifold having coarse symmetric bounded geometry, and prove the Lefschetz fixed point theorem for it. To this end, we develop obstruction theory for bounded sections of a uniform fiber bundle in terms of uniform bounded cohomology, a new variant of bounded cohomology.