|Date: Wednesday, September 07, 2016
Location: 4096 East Hall (4:10 PM to 5:30 PM)
Title: Cohomology of varieties over the maximal cyclotomic extension
Abstract: Some 35 years ago, Ken Ribet proved that an abelian variety defined over the maximal cyclotomic extension K of a number field has only finitely many torsion points. In joint work with Damian Roessler, we show that Ribet's theorem is an instance of a general cohomological statement about smooth projective varieties over K. We also present a largely conjectural generalization to torsion cycles of higher codimension, as well as an analogue in positive characteristic.
Speaker: Tamas Szamuely
Institution: Alfred Renyi Institute of Mathematics