We construct the compatible system of l-adic representations associated to a regular
algebraic cuspidal automorphic representation of GL_n GL n over a CM (or totally real) field …

We construct group-theoretical generalizations of the Hasse invariant on strata closures of
the stacks G-Zip\nolimits^ μ G-Zip μ. Restricting to zip data of Hodge type, we obtain a group …

We prove the compatibility of local and global Langlands correspondences
for\(\operatorname {GL} _n\) up to semisimplification for the Galois representations …

p-ADIC L-FUNCTIONS FOR UNITARY GROUPS Page 1 Forum of Mathematics, Pi (2020), Vol. 8,
e9, 160 pages doi:10.1017/fmp.2020.4 1 p-ADIC L-FUNCTIONS FOR UNITARY GROUPS …

We introduce a method for producing congruences between Hecke eigenclasses, possibly
torsion, in the coherent cohomology of automorphic vector bundles on certain good …

We show that the automorphic étale cohomology of a (possibly noncompact) PEL-type or
Hodge-type Shimura variety in characteristic zero is canonically isomorphic to the …

We study several kinds of subschemes of mixed characteristic models of Shimura varieties
which admit good (partial) toroidal and minimal compactifications, with familiar boundary …

In this introductory article, we will explain what Shimura varieties are and why they are
useful, with an emphasis on examples. We will also describe various compactifications of …

Shimura developed his theory of nearly holomorphic forms in his study on the algebraicity of
special L-values and Klingen Eisenstein series [42, 45]. With the goal of combining this …

We show that the classical Koecher's principle for holomorphic Siegel modular forms
generalizes to all PEL-type cases, in mixed characteristics and for all vector-valued weights …