| Title: | Simplicial bounded cohomology and stability |
| Speaker: | Robin Sroka |
| Time: | Thursday, 08.02.2022, 12:45 |
| Place: | SR 3.061 |
Abstract:
Bounded cohomology is a norm-enriched version of classical group cohomology, which has applications in geometry and geometric topology. Monod and, recently, De la Cruz Mengual--Hartnick introduced homological stability ideas to the area. In analogy with Quillen's classical approach, the key input for proving stability in bounded cohomology is a bounded acyclicity theorem for certain semi-simplicial sets. In this talk, I will outline an approach for studying such acyclicity properties using norm-enriched refinements of well-known simplicial techniques, and discuss applications as well as open questions in the realm of stability. This talk is based on joint work with Thorben Kastenholz.