Add to ORKGAbstract. We give examples of cycle classes on certain unitary Shimura varieties which are not generated by Hecke translates of classes of Shimura subvarieties. We also give examples of cohomol-ogy classes (of low degree) which do not survive on any Shimura subvariety, thereby showing that the span of Hecke translates of Shimura subvarieties can never contain the class of an ample sub-variety. 1
We first give a relative flexible process to construct torsion cohomology classes for Shimura variet...
We show that the compactly supported cohomology of certain - or -Shimura varieties with -level vanis...
Abstract. We survey the theory of local models of Shimura varieties. In particular, we discuss their...
International audienceA particular case of Bergeron-Venkatesh's conjecture predicts that torsion cla...
We investigate the Torelli locus of abelian and cyclic covers of the projective line for occurrence ...
In this thesis, we develop a general method to establish tame and norm relations for special cycles ...
We show that the span of special cycles in the r-th Chow group of a Shimura variety of orthogonal ty...
We study the geometry of unitary Shimura varieties without assuming the existence of an ordinary loc...
Abstract. Let F be a totally real field in which p is inert. We continue the study of (generalized) ...
We give a criterion to determine when the cycle class of a locally symmetric subvariety S<SUB>H</SUB...
We study the conditions imposed by conjectures of Arthur and Kottwitz on the Galois representations ...
This paper gives a complete parametrization of the commensurability classes of totally geodesic subs...
Given a family of Galois coverings of the projective line, we give a simple sufficient condition en...
We prove the ordinary Hecke orbit conjecture for Shimura varieties of Hodge type at primes of good r...
In this thesis, we use the new methods of Koshikawa to prove that the generic l-adic cohomology of n...
We first give a relative flexible process to construct torsion cohomology classes for Shimura variet...
We show that the compactly supported cohomology of certain - or -Shimura varieties with -level vanis...
Abstract. We survey the theory of local models of Shimura varieties. In particular, we discuss their...
International audienceA particular case of Bergeron-Venkatesh's conjecture predicts that torsion cla...
We investigate the Torelli locus of abelian and cyclic covers of the projective line for occurrence ...
In this thesis, we develop a general method to establish tame and norm relations for special cycles ...
We show that the span of special cycles in the r-th Chow group of a Shimura variety of orthogonal ty...
We study the geometry of unitary Shimura varieties without assuming the existence of an ordinary loc...
Abstract. Let F be a totally real field in which p is inert. We continue the study of (generalized) ...
We give a criterion to determine when the cycle class of a locally symmetric subvariety S<SUB>H</SUB...
We study the conditions imposed by conjectures of Arthur and Kottwitz on the Galois representations ...
This paper gives a complete parametrization of the commensurability classes of totally geodesic subs...
Given a family of Galois coverings of the projective line, we give a simple sufficient condition en...
We prove the ordinary Hecke orbit conjecture for Shimura varieties of Hodge type at primes of good r...
In this thesis, we use the new methods of Koshikawa to prove that the generic l-adic cohomology of n...
We first give a relative flexible process to construct torsion cohomology classes for Shimura variet...
We show that the compactly supported cohomology of certain - or -Shimura varieties with -level vanis...
Abstract. We survey the theory of local models of Shimura varieties. In particular, we discuss their...