WorldCat Identities

Genestier, Alain

Overview
Works: 25 works in 67 publications in 2 languages and 991 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Publishing director, Contributor, Other, Opponent, htt, Thesis advisor
Classifications: QA247, 516.35
Publication Timeline
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Most widely held works by Alain Genestier
L'isomorphisme entre les tours de Lubin-Tate et de Drinfeld by Laurent Fargues( )

22 editions published in 2008 in French and English and held by 564 WorldCat member libraries worldwide

Ce livre contient une démonstration détaillée et complète de l'existence d'un isomorphisme équivariant entre les tours p-adiques de Lubin-Tate et de Drinfeld. Le résultat est établi en égales et inégales caractéristiques. Il y est également donné comme application une démonstration du fait que les cohomologies équivariantes de ces deux tours sont isomorphes, un résultat qui a des applications à l'étude de la correspondance de Langlands locale. Au cours de la preuve des rappels et des compléments sont donnés sur la structure des deux espaces de modules précédents, les groupes formels p-divisibles et la géométrie analytique rigide p-adique
Espaces symétriques de Drinfeld by Alain Genestier( Book )

10 editions published in 1996 in 3 languages and held by 181 WorldCat member libraries worldwide

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 ..."
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 )

5 editions published in 2015 in English and held by 37 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, ..."
Autour des motifs. école d'été franco-asiatique de géométrie algébrique et théorie des nombres = sian-French summer school on algebraic geometry and number theory by Minhyong Kim( Book )

2 editions published in 2009 in French and English and held by 30 WorldCat member libraries worldwide

Autour des motifs( Book )

1 edition published in 2009 in English and held by 5 WorldCat member libraries worldwide

Ramification du revêtement de Drinfeld by Alain Genestier( Book )

2 editions published in 1992 in French and held by 4 WorldCat member libraries worldwide

ON ETUDIE LE REVETEMENT LOCAL ET LE REVETEMENT GLOBAL DE DRINFELD. ON DETERMINE DES EQUATIONS POUR LE REVETEMENT LOCAL. CELLES-CI PERMETTENT DE PROUVER UN ENONCE DE RAMIFICATION LE LONG DE LA FIBRE SPECIALE. EN LIAISON AVEC CE RESULTAT, ON DECRIT LA RAMIFICATION DU REVETEMENT GLOBAL AU-DESSUS DES POINTES
Espaces symétriques de Drinfeld : le cas de GLd sur un corps local d'égale caractéristique by Alain Genestier( Book )

2 editions published between 1995 and 1996 in French and held by 4 WorldCat member libraries worldwide

Lisomorphisme entre les tours de Lubin-Tate et de Drinfeld( )

2 editions published in 2008 in French and held by 4 WorldCat member libraries worldwide

Ce livre contient une démonstration détaillée et complète de l'existence d'un isomorphisme équivariant entre les tours p-adiques de Lubin-Tate et de Drinfeld. Le résultat est établi en égales et inégales caractéristiques. Il y est également donné comme application une démonstration du fait que les cohomologies équivariantes de ces deux tours sont isomorphes, un résultat qui a des applications à l'étude de la correspondance de Langlands locale. Au cours de la preuve des rappels et des compléments sont donnés sur la structure des deux espaces de modules précédents, les groupes formels p-divisibles et la géométrie analytique rigide p-adique
L'isomorphisme entre les tours de Lubin-Tate et de Drinfeld by Laurent Fargues( Book )

3 editions published in 2008 in English and French and held by 2 WorldCat member libraries worldwide

Ce livre contient une dA(c)monstration dA(c)taillA(c)e et complA]te de l'existence d'un isomorphisme A(c)quivariant entre les tours p-adiques de Lubin-Tate et de Drinfeld. Le rA(c)sultat est A(c)tabli en A(c)gales et inA(c)gales caractA(c)ristiques. Il y est A(c)galement donnA(c) comme application une dA(c)monstration du fait que les cohomologies A(c)quivariantes de ces deux tours sont isomorphes, un rA(c)sultat qui a des applications A l'A(c)tude de la correspondance de Langlands locale. Au cours de la preuve des rappels et des complA(c)ments sont donnA(c)s sur la structure des deux espaces d
Le morphisme déterminant pour les espaces de modules de groupes p-divisibles by Miaofen Chen( )

1 edition published in 2011 in French and held by 1 WorldCat member library worldwide

Let \M be a moduli space of p-divisible groups introduced by Rapoport and Zink. Assume that \M is unramified of EL or PEL type which is unitary or symplectic. Let \Mrig be the generic fiber of Berthelot of \M. This is a rigid analytic space over which there exist a tower of finite etale coverings (\M_K)_K classifing the level structures. We define a determinant morphism \det_K from the tower (\M_K)_K to a tower of rigid analytic spaces of dimension 0 associated to the cocenter of the reductive group related to the space \M. This is a local analogue on the nonarchimedean places of the determinant morphism for Shimura varieties defined by Deligne. As for Shimura varieties, we prove that the geometric fibers of the determinant morphism \det_K are the geometrically connected components of \M_K. We define also the exterior power morphisms which generalize the determinant morphism on the tower of rigid analytic spaces associated to a Lubin-Tate space
A toroidal resolution for the bad reduction of some Shimura varieties by Alain Genestier( Book )

1 edition published in 2000 in English and held by 1 WorldCat member library worldwide

Journées Élie Cartan 2006, 2007 et 2008, Nancy by Journées Élie Cartan( Book )

1 edition published in 2008 in French and held by 1 WorldCat member library worldwide

L'isomorphisme entre les tours de Lubin-Tate et de Drinfeld. Progress in Mathematics, Volume 262( )

1 edition published in 2008 in English and held by 1 WorldCat member library worldwide

Le lemme fondamental métaplectique de Jacquet et Mao by Viet Cuong Do( )

1 edition published in 2012 in French and held by 1 WorldCat member library worldwide

We prove in the case of positive characteristic a fundamental lemma conjectured by Jacquet and Mao for the metaplectic group. We use the arguments of Bao Châu Ngô for Jacquet-Mao?s fundamental lemma (B.C. Ngo, 1999) and a geometric study of the metaplectic group
Filtrations de Hodge-Newton, décomposition cellulaire et cohomologie de certains espaces de modules p-adiques by Xu Shen( )

1 edition published in 2012 in English and held by 1 WorldCat member library worldwide

In this thesis we study p-adic analytic geometry and l-adic cohomology of some Rapoport-Zink spaces, using the theory of Harder-Narasimhan filtration of finite flat group schemes developed by Fargues .This thesis consists of three parts. The first part deals with some non-basic Rapoport-Zink spaces, which satisfy the condition that their Newton polygon and Hodge polygon have a non-trivial contact point, which is a breakpoint for the Newton polygon. Under this hypothesis, we prove these Rapoport-Zink spaces can be decomposed as a direct sum of smaller Rapoport-Zink spaces associated to some suitable parabolic subgroups, thus their l-adic cohomology is parabolically induced and in particular contain no supercuspidal representations. We prove these facts by first proving a theorem about the Hodge-Newton filtration for p-divisible groups with additional structures over complete valuation rings of rank one and mixed characteristic (0,p).In the second part, we consider the basic Rapoport-Zink spaces with signature (1,n-1) for the unitary groups associated to the unramified quadratic extension of Qp. We study the Hecke action on these spaces in details. By using the theory of Harder-Narasimhan filtrations of finite flat group schemes, and the Bruhat-Tits stratification of the reduced special fiber Mred studied by Vollaard-Wedhorn, we find some compact analytic domain DK such that its translates under the group G(Qp)×Jb(Qp) form a locally finite cover of the whole space MK. We call such a phenomenon a locally finite cell decomposition.In the third part we prove a Lefschetz trace formula for these spaces for the action of regular semi-simple elliptic elements, by considering the action of these elements on the cells and applying Mieda's main theorem. In the same way we can also reprove the Lefschetz trace formula for Lubin-Tate spaces as previously obtained by Strauch and by Mieda. This Lefschetz trace formula should characterize the realization of local Jacquet-Langlands correspondences for unitary groups in the l-adic cohomology of these Rapoport-Zink spaces, as soon as some corresponding representation theoretic problems are solved
Twisted Whittaker category on affine flags and category of representations of mixed quantum group by Ruotao Yang( )

1 edition published in 2020 in English and held by 1 WorldCat member library worldwide

Suppose that G is a reductive group. We have the geometric Satake equivalence which identifies Sph (G), the perverse G (O) equivalent D-modules on affine grassmannin as the category of finite dimensional representation of H, the Langlands dual group of G. We note that: Whit(Gr) = Sph(G). Here, Whit (Gr) is the module category D (N (K), \ chi) -equivalent on Gr. Now, the category of representation admits a deformation by the category of representations of quantum group. On the Whittaker side, we can consider the twisted D-modules on affine grassmannin. This is the fundamental local equivalence: Whit_q (Gr) = Rep_q (H) . Recently, D. Gaitsgory proposed its ramified version. We consider the affine flags instead of the affine grassmannians. In this case, we have to replace the category of quantum group representations with another category, the category of mixed quantum group representations. Whit_q (Fl) = Rep_q ^ {mix} (H) . We prove that the category of twisted Whittaker D-modules on the affine flags and the category of representations of the mixed quantum group are equivalent
Relation de congruence pour les variétés de Shimura associées aux groupes unitaires GU (n-1,1) by Jean-stefan Koskivirta( )

1 edition published in 2013 in French and held by 1 WorldCat member library worldwide

Blasius et Rogawski ont formulé une conjecture qui prévoit que l'action du Frobenius sur la cohomologie d'une variété de Shimura est annulée par un certain polynôme, à coefficients dans l'algèbre de Hecke. C'est l'analogue de la célèbre relation d'Eichler-Shimura pour la courbe modulaire. Dans cette thèse, on démontre cette conjecture pour les variétés de Shimura associées aux groupes unitaires en signature (n-1,1) quand n est impair. Par ailleurs, on étudie certains aspects dans le cas particulier n=3. On montre explicitement la relation de congruence sur le lieu ordinaire. De plus, on étudie le graphe des cristaux supersinguliers et les relèvements d'isogénies en caractéristique nulle
 
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WorldCat IdentitiesRelated Identities
L'isomorphisme entre les tours de Lubin-Tate et de Drinfeld L'isomorphisme entre les tours de Lubin-Tate et de Drinfeld
Covers
L'isomorphisme entre les tours de Lubin-Tate et de Drinfeld
Alternative Names
Genestier, A.

Genestier, A. (Alain)

Languages
French (41)

English (20)