Motivic cohomology actions and the geometry of eigenvarieties

Number Theory Seminar - David Hansen - October 1, 2015

David Hansen
Columbia University
October 1, 2015
Venkatesh has recently proposed a fascinating conjecture relating motivic cohomology with automorphic forms and the cohomology of arithmetic groups. I'll describe this conjecture, and discuss its connections with the local geometry of eigenvarieties and nonabelian analogues of the Leopoldt conjecture. This is joint work with Jack Thorne.