Masterclass Lecture by Andy Putman

Lecture in Masterclass: Cohomology of arithmetic groups by Andy Putman (Notre Dame)

Title: Buildings, duality, and the high-dimensional cohomology of arithmetic groups

Abstract: I will discuss topological results about the cohomology of arithmetic groups, focusing for simplicity on the group SL(n,Z). Topics include the Borel-Serre bordification, Bieri-Eckmann duality, the structure of the Steinberg module, and the high-dimensional cohomology of these groups.