Previous Conferences & Workshops

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...

Abstract: In this talk, I will give a new construction of the Morse-Bott cochain complex, where the underlying vector space is generated by the cohomology of the critical manifolds. This new construction has two nice features: (1) It requires the...

Abstract: We will describe new algorithms to compute an explicit finite simplicial model for compact, congruence locally symmetric spaces and Hecke actions thereon. Joint work with Aurel Page.

Abstract: I will introduce the mod p derived spherical Hecke algebra of a p-adic group, and discuss its structure via a derived version of the Satake homomorphism. Then, I will survey some speculations about its action on the cohomology of...

Our goal is to create a convenient natural language interface for performing well-specified but complex actions such as analyzing data, manipulating text, and querying databases. However, existing natural language interfaces for such tasks are quite...

Abstract: I will report on ongoing computations, with G. Dispinescu and W. Niziol, of the p-adic etale cohomology of the Drinfield tower, and applications to the p-adic local Langlands correspondence.

The language edit distance is a significant generalization of two basic problems in computer science: parsing and string edit distance computation. Given any context free grammar, it computes the minimum number of insertions, deletions and...

Abstract: I will discuss the following question: is Langlands functoriality given by algebraic cycles? After a survey of some examples of interest, the talk will focus mostly on one case, namely that of inner forms GL(2) over a totally real field...

The main theme was the relationship between cohomology of arithmetic groups, Galois representations, and motives, which arises out of the Langlands program. The workshop emphasized some directions that have seen recent progress, for example, new...