|Workshop on Motives, Galois Representations and Cohomology Around the Langlands Program|
|Topic:||Higher Hida theory|
|Date:||Tuesday, November 7|
|Time/Room:||10:00am - 11:00am/S-101|
Abstract: In usual Hida theory, one constructs a module over weight space whose specialitzation to sufficiently regular weight is a space over classical ordinary modular forms. The goal of higher Hida theory is to construct a perfect complex of modules over (part of) weight space whose specialization to classical *non-regular* weights is a complex which (in favorable circumstances) computes the coherent cohomology of the assoicated Shimura variety in that weight. In this talk, we outline a construction of these complexes for GSp(4) and certain families of irregular weights.