Summer School on Motives and Arithmetic Groups

The aim of the summer school is to provide an introduction to recent advances in the understanding of the number-theoretic content of the cohomology of arithmetic groups and of algebraic K-groups of number rings. Uncovering this information reveals deep connections with algebraic geometry, namely with the theory of motives and with motivic homotopy theory. Surprisingly, this happens even when the arithmetic groups under consideration are not directly linked with algebraic varieties.

Topics: Mixed Tate motives, Dedekind zeta values, and polylogarithms, Weighted cohomology of Shimura varieties, Hermitian K-theory of number rings and special values of L-functions, Motivic cohomology and cohomology of arithmetic groups