Morel, Sophie 1979
Overview
Works:  8 works in 29 publications in 2 languages and 2,011 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Opponent 
Classifications:  QA242.5, 516.352 
Publication Timeline
.
Most widely held works by
Sophie Morel
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 actionat good placeson the G(Af)isotypical components of the cohomology. Morel use
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 actionat good placeson 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, GrothendieckLefschetz trace formula, ArthurSelberg trace formula, Shimura varieties, Higgs fibre bundles and Hitchin fibration ..."
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, GrothendieckLefschetz trace formula, ArthurSelberg 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 actionat good placeson the G(Af)isotypical components of the cohomology
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 actionat good placeson the G(Af)isotypical components of the cohomology
On the cohomology of certain noncompact 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 actionat good placeson the G(Af)isotypical components of the cohomology. Morel uses the method developed by Langlands, Ihara, and Kottwitz, which is to compare the GrothendieckLefschetz fixed point formula and the ArthurSelberg 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 grouptheoretical 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 nonexplicit multiplicity. Morel also gives some results on base change from unitary groups to general linear groups
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 actionat good placeson the G(Af)isotypical components of the cohomology. Morel uses the method developed by Langlands, Ihara, and Kottwitz, which is to compare the GrothendieckLefschetz fixed point formula and the ArthurSelberg 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 grouptheoretical 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 nonexplicit multiplicity. Morel also gives some results on base change from unitary groups to general linear groups
Complexes d'intersection des compactifications de BailyBorel : 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 BailyBorel 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 BailyBorel 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
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 BailyBorel 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 BailyBorel 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
JeanBenoît 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, GrothendieckLefschetz trace formula, ArthurSelberg trace formula, Shimura varieties, Higgs fibre bundles and Hitchin fibration, ..."
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, GrothendieckLefschetz trace formula, ArthurSelberg 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 ladic cohomology groups with compact supports of the classifying stacks of the GShtukas. 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 Heckefinite part in the rational sense
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 ladic cohomology groups with compact supports of the classifying stacks of the GShtukas. 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 Heckefinite 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
2 editions published in 2005 in Undetermined and French and held by 1 WorldCat member library worldwide
Audience Level
0 

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Related Identities
 Laumon, Gérard Opponent Thesis advisor
 Genestier, Alain Editor
 Lysenko, Sergey Editor
 Boyer, Pascal 1970 Editor
 Lafforgue, Laurent Editor
 Bost, JeanBenoît 1961 Editor
 Ngô, Báo Châu Editor
 Université ParisSud Centre d'Orsay
 Kottwitz, Robert E. Author of introduction
 Université de ParisSud Faculté des sciences d'Orsay (Essonne) Other
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Alternative Names
Sophie Morel Frans wiskundige
Sophie Morel fransk matematikar
Sophie Morel fransk matematiker
Sophie Morel französische Mathematikerin
Sophie Morel French mathematician
Sophie Morel matemática francesa
Sophie Morel matematica francese
Sophie Morel mathématicienne française
Софи Морел
سوفی مورل
صوفي موريل رياضياتية فرنسية
소피 모렐 프랑스 수학자
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