Review of vanishing for bounded cohomology, in preparation for stability - Nicolas Monod

Arithmetic Groups
Topic: Review of vanishing for bounded cohomology, in preparation for stability
Speaker: Nicolas Monod
Affiliation: École Polytechnique Fédérale de Lausanne
Date: March 09, 2022
This lecture serves as a background for the upcoming talk by Bharatram Rangarajan. I will review some aspects of bounded cohomology, including why it appears to have some relevance to stability questions. I will then explain vanishing results for the bounded cohomology of higher rank groups and their lattices. This includes results with Marc Burger, Yehuda Shalom, and time permitting a new variant of Borel-Serre vanishing based on a measurable Solomon-Tits theorem.