Title: Hida families for GL_2 and Lambda-adic Hodge theory
Speaker: Bryden Cais
Speaker Info: Wisconsin
Special Note: The speaker will give a preseminar talk for graduate students at 11 am in Lunt 104.
In the 1980's, Hida constructed p-adic analytic families of ordinary Galois representations via the etale cohomology of towers of modular curves. In accordance with the philosophy of p-adic Hodge theory, one expects that there should be corresponding "geometric" constructions of p-adic families of ordinary modular forms via de Rham and crystalline cohomology. In this talk, we will explain such constructions and we will use recent progress in integral p-adic Hodge theory to relate our constructions to Hida's. As a consequence, we obtain a purely geometric description of the family of (phi,Gamma)-modules attached to Hida's representations.Date: Monday, October 18, 2010