EVENT DETAILS AND ABSTRACT

Title: Galois eigenvarieties
Speaker: Fucheng Tan
Speaker Info: MIT
Brief Description:
Special Note:
Abstract:

I generalize Kisin's construction of Galois theoretic eigencurve on GL_2(Q) to GL_N and GSp_{2g} over arbitrary number fields. A criterion for smoothness of de Rham points in a Galois eigenvariety and a lower bound of dimension of the eigenvariety will be given. Time permitting, I will prove (in many cases) the de Rhamness of Galois representations attached to Siegel modular forms of low weight and modular forms on GL_2 over imaginary quadratic fields.