Mirror symmetry and the BreuilMezard Conjecture
Mirror symmetry and the BreuilMezard Conjecture

Tony Feng, University of California, Berkeley
IAS  Simonyi Hall Seminar Room SH101
The BreuilMezard Conjecture predicts the existence of hypothetical "BreuilMezard cycles" that should govern congruences between mod p automorphic forms on a reductive group G. Most of the progress thus far has been concentrated on the case G = GL_2, which has several special features. I will talk about joint work with Bao Le Hung on a new approach to the BreuilMezard Conjecture, which applies for arbitrary groups (and in particular, in arbitrary rank). It is based on the intuition that the BreuilMezard conjecture is analogous to homological mirror symmetry.