This is a survey article that advertises the idea that there should exist a theory of p-adic local analogues of Shimura varieties. Prime examples are the towers of rigid-analytic spaces defined by Rapoport–Zink spaces, and we also review their theory in the light of this idea. We also discuss conjectures on the ℓ-adic cohomology of local Shimura varieties
We generalize the work of Lue Pan on locally analytic completed cohomology of modular curves to Shim...
Rapoport–Zink spaces, or more generally local Shimura varieties, are expected to provide geometric r...
In this thesis, we study the Hodge-Tate structure of the proétale cohomology of Shimura varieties. T...
We establish basic results on p-adic shtukas and apply them to the theory of local and global Shimur...
Rapoport-Zink spaces are formal moduli spaces of p-divisible groups which give rise to local analogu...
In this paper, we study the local geometry at a prime p of a certain class of (PEL) type Shimura var...
In this paper, we study the local geometry at a prime p of a certain class of (PEL) type Shimura var...
In this article we study the local geometry at a prime p of PEL-type Shimura varieties for which the...
In this article we study the local geometry at a prime p of PEL-type Shimura varieties for which the...
We determine the Galois representations inside the l-adic cohomology of some unitary Shimura varieti...
We determine the Galois representations inside the l-adic cohomology of some unitary Shimura varieti...
This article provides a "local" complementary to the previous results concerning the local models fo...
We determine the Galois representations inside the l-adic cohomology of some unitary Shimura varieti...
Rapoport–Zink spaces, or more generally local Shimura varieties, are expected to provide geometric r...
This book aims first to prove the local Langlands conjecture for GLn over a p-adic field and, second...
We generalize the work of Lue Pan on locally analytic completed cohomology of modular curves to Shim...
Rapoport–Zink spaces, or more generally local Shimura varieties, are expected to provide geometric r...
In this thesis, we study the Hodge-Tate structure of the proétale cohomology of Shimura varieties. T...
We establish basic results on p-adic shtukas and apply them to the theory of local and global Shimur...
Rapoport-Zink spaces are formal moduli spaces of p-divisible groups which give rise to local analogu...
In this paper, we study the local geometry at a prime p of a certain class of (PEL) type Shimura var...
In this paper, we study the local geometry at a prime p of a certain class of (PEL) type Shimura var...
In this article we study the local geometry at a prime p of PEL-type Shimura varieties for which the...
In this article we study the local geometry at a prime p of PEL-type Shimura varieties for which the...
We determine the Galois representations inside the l-adic cohomology of some unitary Shimura varieti...
We determine the Galois representations inside the l-adic cohomology of some unitary Shimura varieti...
This article provides a "local" complementary to the previous results concerning the local models fo...
We determine the Galois representations inside the l-adic cohomology of some unitary Shimura varieti...
Rapoport–Zink spaces, or more generally local Shimura varieties, are expected to provide geometric r...
This book aims first to prove the local Langlands conjecture for GLn over a p-adic field and, second...
We generalize the work of Lue Pan on locally analytic completed cohomology of modular curves to Shim...
Rapoport–Zink spaces, or more generally local Shimura varieties, are expected to provide geometric r...
In this thesis, we study the Hodge-Tate structure of the proétale cohomology of Shimura varieties. T...