M. Haluk Sengun (University of Sheffield)

K-theory around arithmetic groups

Abstract: The ordinary cohomology of arithmetic groups, endowed with the action of Hecke operators, plays an important role in the theory of automorphic forms and in the Langlands programme. Could replacing ordinary cohomology with K-theory offer new insight or reveal new phenomena? In this talk, I will present some highlights of joint work with Bram Mesland (Hannover) in which we take the first steps to attack the above question in the case of Bianchi groups.

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