Title: Parity in the cohomology of algebraic varieties
Speaker: Junecue Suh
Speaker Info: IAS
Special Note: The speaker will give a preseminar talk at 11 am in Lunt 102.
An old question of Serre (which was also raised in Deligne's Weil II) asks whether the odd-degree $\ell$-adic Betti numbers of any proper smooth variety over a field are even. I will give an answer (in the affirmative) to this question and then discuss later questions of Serre and Katz that generalize and refine it.Date: Monday, May 02, 2011