Title: Selmer groups over eigenvarieties
Speaker: Professor Jay Pottharst
Speaker Info: Boston College
Brief Description:
Special Note:
Abstract:
Greenberg defined Selmer groups over p-adic deformations of motives that are "ordinary". This leaves open the question of how to define a Selmer group over, for example, the eigencurve of Coleman-Mazur. We present a conjectural program to do this, using a direct generalization of Greenberg's hypothesis in the setting of (phi,Gamma)-modules, and give evidence by comparing our local conditions to Bloch-Kato's.Date: Monday, February 23, 2009