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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