7 citations · 12 across the 10 of their papers we have counts for
12 papers
Shimura varieties
Sophie Morel
These are the notes of a course on Shimura varieties that I gave at the 2022 IHES summer school on the Langlands program. Lecture 1 gives an introduction to Shimura varieties over…
Comparison of different definitions of pseudocharacters
Kathleen Emerson, Sophie Morel
We prove that the definitions of a -dimensional pseudocharacter (or pseudorepresentation) given by Chenevier and V. Lafforgue agree over any ring. We also compare the scheme of…
Pizza and 2-structures
Richard Ehrenborg, Sophie Morel, Margaret Readdy
Let be a Coxeter hyperplane arrangement in -dimensional Euclidean space. Assume that the negative of the identity map belongs to the associated Coxeter group .…
Sharing pizza in n dimensions
Richard Ehrenborg, Sophie Morel, Margaret Readdy
We introduce and prove the -dimensional Pizza Theorem: Let be a hyperplane arrangement in . If is a measurable set of finite volume, the {pizza…
A generalization of combinatorial identities for stable discrete series constants
Richard Ehrenborg, Sophie Morel, Margaret Readdy
This article is concerned with the constants that appear in Harish-Chandra's character formula for stable discrete series of real reductive groups, although it does not require any…
The four operations on perverse motives
Florian Ivorra, Sophie Morel
Let be a field of characteristic zero with a fixed embedding into the field of complex numbers. Given a -variety , we use the triangulated…
Construction de représentations galoisiennes de torsion, d'après Peter Scholze
Sophie Morel
Le but de cet exposé est de présenter les résultats de Scholze sur la construction des représentations galoisiennes de torsion associées aux caractères de l'algèbre de Hecke appara…
Complexes d'intersection des compactifications de Baily-Borel : Le cas des variétés de Siegel
Sophie Morel
In this work, we calculate the trace of a Hecke correspondance composed with a power of the Frobenius endomorphism on the fibre of the intersection complexes of the Baily-Borel com…
Some combinatorial identities appearing in the calculation of the cohomology of Siegel modular varieties
Richard Ehrenborg, Sophie Morel, Margaret Readdy
In the computation of the intersection cohomology of Shimura varieties, or of the cohomology of equal rank locally symmetric spaces, combinatorial identities involving averag…
Mixed -adic complexes for schemes over number fields
Sophie Morel
If is a variety over a number field, Annette Huber has defined a category of "horizontal" (or "almost everywhere unramified") -adic complexes and -adic perverse she…
The standard sign conjecture on algebraic cycles: the case of Shimura varieties
Sophie Morel, Junecue Suh
We show how to deduce the standard sign conjecture (a weakening of the Künneth standard conjecture) for Shimura varieties from some statements about discrete automorphic representa…
On the cohomology of certain non-compact Shimura varieties (with an appendix by Robert Kottwitz)
Sophie Morel
The goal of this paper is to calculate the trace of the composition of a Hecke correspondence and a (high enough) power of the Frobenius at a good place on the intersection cohomol…