Morel, Sophie 1979-

On the cohomology of certain noncompact Shimura varieties by Sophie Morel( )

10 editions published in 2010 in English and held by 1,872 WorldCat member libraries worldwide

This book studies the intersection cohomology of the Shimura varieties associated to unitary groups of any rank over Q. In general, these varieties are not compact. The intersection cohomology of the Shimura variety associated to a reductive group G carries commuting actions of the absolute Galois group of the reflex field and of the group G(Af) of finite adelic points of G. The second action can be studied on the set of complex points of the Shimura variety. In this book, Sophie Morel identifies the Galois action--at good places--on the G(Af)-isotypical components of the cohomology. Morel use

De la géométrie algébrique aux formes automorphes : une collection d'articles en l'honneur du soixantième anniversaire de Gérard Laumon( Book )

2 editions published in 2015 in English and held by 88 WorldCat member libraries worldwide

" ... The range of subjects covered reflects the diversity and richness of the works and interests of Gérard Laumon: étale cohomology of schemes and stacks, -adic sheaves and Fourier transform, character sheaves, classic and geometric Langlands correspondence, Grothendieck-Lefschetz trace formula, Arthur-Selberg trace formula, Shimura varieties, Higgs fibre bundles and Hitchin fibration ..."

On the cohomology of certain noncompact Shimura varieties by Sophie Morel( Book )

8 editions published in 2010 in English and held by 28 WorldCat member libraries worldwide

This book studies the intersection cohomology of the Shimura varieties associated to unitary groups of any rank over Q. In general, these varieties are not compact. The intersection cohomology of the Shimura variety associated to a reductive group G carries commuting actions of the absolute Galois group of the reflex field and of the group G(Af) of finite adelic points of G. The second action can be studied on the set of complex points of the Shimura variety. In this book, Sophie Morel identifies the Galois action--at good places--on the G(Af)-isotypical components of the cohomology

On the cohomology of certain non-compact Shimura varieties by Sophie Morel( )

2 editions published in 2010 in English and held by 16 WorldCat member libraries worldwide

Main description: This book studies the intersection cohomology of the Shimura varieties associated to unitary groups of any rank over Q. In general, these varieties are not compact. The intersection cohomology of the Shimura variety associated to a reductive group G carries commuting actions of the absolute Galois group of the reflex field and of the group G(Af) of finite adelic points of G. The second action can be studied on the set of complex points of the Shimura variety. In this book, Sophie Morel identifies the Galois action--at good places--on the G(Af)-isotypical components of the cohomology. Morel uses the method developed by Langlands, Ihara, and Kottwitz, which is to compare the Grothendieck-Lefschetz fixed point formula and the Arthur-Selberg trace formula. The first problem, that of applying the fixed point formula to the intersection cohomology, is geometric in nature and is the object of the first chapter, which builds on Morel's previous work. She then turns to the group-theoretical problem of comparing these results with the trace formula, when G is a unitary group over Q. Applications are then given. In particular, the Galois representation on a G(Af)-isotypical component of the cohomology is identified at almost all places, modulo a non-explicit multiplicity. Morel also gives some results on base change from unitary groups to general linear groups

Complexes d'intersection des compactifications de Baily-Borel : le cas des groupes unitaires sur Q by Sophie Morel( Book )

2 editions published in 2005 in French and held by 3 WorldCat member libraries worldwide

In this work, we calculate the trace of a power of the Frobenius endomorphism on the fibers of the intersection complex of the Baily-Borel compactification of a Shimura variety associated to a unitary group over Q.Our main tool is Pink's theorem about the restriction to the strata of the Baily-Borel compactification of a local system on the Shimura variety. To use this theorem, we give a new construction of the intermediate extension of a pure perverse sheaf as a weight truncated of the full direct image.More generally, we are able to define analogs in positive characteristic of the weighted cohomology complexes introduced by Goresky, Harder and MacPherson

De la géométrie algébrique aux formes automorphes : une collection d'articles en l'honneur du soixantième anniversaire de Gérard Laumon by Jean-Benoît Bost( Book )

2 editions published in 2015 in English and held by 2 WorldCat member libraries worldwide

"... The range of subjects covered reflects the diversity and richness of the works and interests of Gérard Laumon: étale cohomology of schemes and stacks, -adic sheaves and Fourier transform, character sheaves, classic and geometric Langlands correspondence, Grothendieck-Lefschetz trace formula, Arthur-Selberg trace formula, Shimura varieties, Higgs fibre bundles and Hitchin fibration, ..."

Cohomologie cuspidale des champs de Chtoucas by Cong Xue( )

1 edition published in 2017 in French and held by 1 WorldCat member library worldwide

In this thesis, we construct the constant term morphism for the l-adic cohomology groups with compact supports of the classifying stacks of the G-Shtukas. Then we define the cuspidal part of these cohomology groups and we prove that it is of finite dimension. Moreover, we show that the cuspidal part coincides with the Hecke-finite part in the rational sense

La mise en oeuvre du principe de complementarite par la cour penale internationale : le cas particulier des amnisties by Sophie Morel( Book )

2 editions published in 2005 in Undetermined and French and held by 1 WorldCat member library worldwide