8 citations · 18 across the 12 of their papers we have counts for
13 papers
Ihara's Lemma for : the limit case
Pascal Boyer
Clozel, Harris and Taylor proposed conjectural generalizations of the classical Ihara's lemma for , to higher dimensional similitude groups. We prove these conjectur…
Construction of torsion cohomology classes for KHT Shimura varieties
Pascal Boyer
Let be a Shimura variety of KHT type, as introduced in Harris-Taylor book, associated to some similitude group and a open compact subgroup of $G(\math…
Galois irreducibility implies cohomology freeness for KHT Shimura varieties
Pascal Boyer
Given a KHT Shimura variety provided with an action of its unramified Hecke algebra , we proved in a previous work, see also the work of Caraiani-Scholze for other PEL S…
Local Ihara's lemma and applications
Pascal Boyer
Persistence of non-degeneracy is a phenomenon which appears in the theory of -representations of the linear group: every irreducible submodule of the restri…
-stabilization in higher dimension
Pascal Boyer
Using -adic completed cohomology in the context of Shimura varieties of Kottwitz-Harris-Taylor type attached to some fixed similitude group , we prove, allowing to increase t…
Automorphic congruences and torsion in the cohomology of a simple unitary Shimura variety
Pascal Boyer
We first give a relative flexible process to construct torsion cohomology classes for Shimura varieties of Kottwitz-Harris-Taylor type with coefficient in a non too regular local s…
On the -cohomology of a simple unitary Shimura variety
Pascal Boyer
We study the torsion cohomology classes of Shimura varieties of type Kottwitz-Harris-Taylor and we show that " up to an arbitrary place " one can raise them to an automorphic repre…
Ihara's lemma and level rising in higher dimension
Pascal Boyer
A key ingredient in the Taylor-Wiles proof of Fermat last theorem is the classical Ihara's lemma which is used to rise the modularity property between some congruent galoisian repr…
Mazur's principle for U(1,d)
Pascal Boyer
The Mazur principle give simple conditions for an irreducible unramified -representation coming from a modular form of level to come for some mod…
Congruences automorphes et torsion dans la cohomologie d'un système local d'Harris-Taylor
Pascal Boyer
The principal aim of this paper is to construct torsion cohomology classes in the initial terms of a spectral sequence computing the cohomology of a Kottwitz-Harris-Taylor Shimura…
Filtrations de stratification de quelques variétés de Shimura simples
Pascal Boyer
We define and study new filtrations called of stratification of a perverse sheaf on a scheme; beside the cases of the weight or monodromy filtrations, these filtrations are availab…
On the irreductibility of some Igusa varieties
Pascal Boyer
We describe the connected components of Igusa's varieties of second species defined par Harris and Taylor in their book. There are in bijection with the characters of the inversibl…
Monodromy of the perverse sheaf of vanishing cycles of some simple Shimura varieties and applications
Pascal Boyer
In the geometric situation of the simple Shimura varieties of Kottwitz studied in Harris and Taylor's book, we describe the monodromy filtration of the vanishing cycles complex and…