Number Theory Seminar

Speaker: Konstantinos Tsaltas

Title: On congruences of Bianchi modular forms via the theta correspondence.

Abstract: In this talk, I will discuss joint work with Frazer Jarvis on congruences between Galois representations associated to automorphic representations for GL(2) over imaginary quadratic fields. This will be done subject to the existence of congruences for automorphic representations for GSp(4) over the rationals, which arise as global theta lifts. In addition, I will speculate on the existence of congruences between modular forms defined over distinct quadratic fields.