Higher congruences for modular forms and Zeta elements

Eric Urban, Columbia University
Fine Hall 214

In a recent joint work with S. Iyengar, C. Khare and J. Manning, we use their notion of congruence modules in higher codimension to give a new construction of the bottom class of the rank d=[F:\Q] Euler system attached to nearly ordinary Hilbert modular forms for a totally real field F that I constructed a few years ago. In this talk, I will discuss the non ordinary case for elliptic cusp forms and the construction of Zeta elements in the exterior square of the Galois cohomology for adjoint modular Galois representations.

Meeting ID:  920 2195 5230

Passcode:    The three-digit integer that is the cube of the sum of its digits.