Events
The Farrell-Jones Conjecture for the Hecke algebras of reductive p-adic groups
| Title of the event | The Farrell-Jones Conjecture for the Hecke algebras of reductive p-adic groups |
| Series | MathematischeGesellschaft |
| Organizer | Mathematisches Institut |
| Speaker | Prof. Dr. Wolfgang Lück |
| Speaker institution | Universität Bonn |
| Type of event | Kolloquium |
| Category | Forschung |
| Registration required | Nein |
| Details | We formulate and sketch the proof of the K-theoretic Farrell-Jones Conjecture for the Hecke algebras of reductive p-adic groups. This is the first time that a version of the farrell-Jones Conjecture for topological groups is formulated. It implies that the reductive projective class group of the Hecke algebra of a reductive p-adic group is the colimit of these for all compact open subgroups. This has been proved rationally by Bernstein and Dat using representation theory. The main applications of our result will concern the theory of smooth representations In particular we will prove a conjecture of Dat. Most of the talk will be devoted to an introduction to the Farrell-Jones Conjecture and the theory of smooth representations of reductive p-adic groups, and discussion of applications. This is a joint project with Arthur Bartels. |
| Date | Start: 29.06.2023, 16:15 Uhr Ende: 29.06.2023 , 17:15 Uhr |
| Location |
Mathematisches Institut (Bunsenstr 3-5) Sitzungszimmer oder über Zoom: https://uni-goettingen.zoom.us/j/91336854872 |
| Contact |
0551 39 27752 annalena.wendehorst@mathematik.uni-goettingen.de |
| External link | https://uni-goettingen.zoom.us/j/91336854872 |