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. Unfortunately, the abstract in description has text only limitation. To see correct abstract look at icm2018.org ICM 2018 - International Congress of Mathematicians © www.icm2018.org     Os direitos sobre todo o material deste canal pertencem ao Instituto de Matemática Pura e Aplicada, sendo vedada a utilização total ou parcial do conteúdo sem autorização prévia e por escrito do referido titular, salvo nas hipóteses previstas na legislação vigente. The rights over all the material in this channel belong to the Instituto de Matemática Pura e Aplicada, and it is forbidden to use all or part of it without prior written authorization from the above mentioned holder, except in the cases prescribed in the current legislation.