High cohomology of arithmetic groups

Speaker:

Peter Patzt || GER

Affiliation:

University of Oklahoma

Date:

Thu, 30/06/2022 - 11:00 - 11:30

Parent event:

Twinned Conference on Homotopy Theory with Applications to Arithmetic and Geometry [2]

I want to give a report on the recent progress on the high (=near the virtual cohomological dimension) cohomology of arithmetic groups such as special linear groups of number rings and their congruence subgroups. These cohomology groups have important connections to algebraic number theory, especially when considering their Hecke actions. Furthermore, they have been fundamental in finding certain K-groups of number rings.