Fields Medal Lecture: Cohomology of arithmetic groups - Akshay Venkatesh - ICM2018

Cohomology of arithmetic groups
Akshay Venkatesh
Abstract: The topology of “arithmetic manifolds”, such as the space of lattices in Rn modulo rotations, encodes subtle arithmetic features of algebraic varieties. In some cases, this can be explained because the arithmetic manifold itself carries the structure of an algebraic variety. I will introduce and discuss some of the interesting phenomena that occur in the other (non-algebraic) cases.
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