Add to ORKGAssuming the trace formula for Igusa varieties in characteristic p, which is known by Mack-Crane in the case of Hodge type with good reduction at p, we stabilize the formula via Kaletha's theory of rigid inner twists when the reductive group in the underlying Shimura datum is quasi-split at p. This generalizes our earlier work under more restrictive hypotheses.Comment: 49 pages, comments welcom
We construct an Euler system associated to regular algebraic, essentially conjugate self-dual cuspid...
We establish functoriality of higher Coleman theory for certain unitary Shimura varieties and use th...
We prove the Gross-Zagier-Zhang formula over global function fields of arbitrary characteristics. It...
The Langlands-Kottwitz method seeks to understand Shimura varieties in terms of automorphic forms by...
Let $(G,X)$ be a PEL-Shimura datum of type AC in Kottwitz's classification. Assume $G_{\mathbf{Q}_p}...
The purpose of the present note is to introduce some notions useful for applications of the trace fo...
In this article we compute the mass associated to any unimodular lattice in a Hermitian space over a...
We generalize the concept of rigid inner forms, defined by Kaletha in [Kal16], to the setting of a l...
We illustrate the strategy to compute the R-adic cohomology of Igusa varieties in the setup of ordin...
We establish basic results on p-adic shtukas and apply them to the theory of local and global Shimur...
We construct universal $G$-zips on good reductions of the Pappas-Rapoport splitting models for PEL-t...
We introduce an etale fundamental group with modulus and construct a reciprocity homomorphism from t...
International audienceThe present volume is the first in a projected series of three orfour collecti...
Let F be the function field of a projective smooth geometrically connected curve X defined over a fi...
Since Automorphic representations for general groups are very difficult to study individually, they ...
We construct an Euler system associated to regular algebraic, essentially conjugate self-dual cuspid...
We establish functoriality of higher Coleman theory for certain unitary Shimura varieties and use th...
We prove the Gross-Zagier-Zhang formula over global function fields of arbitrary characteristics. It...
The Langlands-Kottwitz method seeks to understand Shimura varieties in terms of automorphic forms by...
Let $(G,X)$ be a PEL-Shimura datum of type AC in Kottwitz's classification. Assume $G_{\mathbf{Q}_p}...
The purpose of the present note is to introduce some notions useful for applications of the trace fo...
In this article we compute the mass associated to any unimodular lattice in a Hermitian space over a...
We generalize the concept of rigid inner forms, defined by Kaletha in [Kal16], to the setting of a l...
We illustrate the strategy to compute the R-adic cohomology of Igusa varieties in the setup of ordin...
We establish basic results on p-adic shtukas and apply them to the theory of local and global Shimur...
We construct universal $G$-zips on good reductions of the Pappas-Rapoport splitting models for PEL-t...
We introduce an etale fundamental group with modulus and construct a reciprocity homomorphism from t...
International audienceThe present volume is the first in a projected series of three orfour collecti...
Let F be the function field of a projective smooth geometrically connected curve X defined over a fi...
Since Automorphic representations for general groups are very difficult to study individually, they ...
We construct an Euler system associated to regular algebraic, essentially conjugate self-dual cuspid...
We establish functoriality of higher Coleman theory for certain unitary Shimura varieties and use th...
We prove the Gross-Zagier-Zhang formula over global function fields of arbitrary characteristics. It...