A mod p Jacquet-Langlands relation and Serre filtration via the geometry of Hilbert modular varieties : splicing and dicing
We consider Hilbert modular varieties in characteristic p with Iwahori level at p and construct a geometric Jacquet-Langlands relation showing that the irreducible components are isomorphic to products of projective bundles over quaternionic Shimura varieties of level prime to p. We use this to esta...
Enregistré dans:
Auteurs principaux : | , , |
---|---|
Format : | Livre |
Langue : | anglais |
Titre complet : | A mod p Jacquet-Langlands relation and Serre filtration via the geometry of Hilbert modular varieties : splicing and dicing / Fred Diamond, Payman Kassaei & Shu Sasaki |
Publié : |
Paris :
Société mathématique de France
, DL 2023 |
Description matérielle : | 1 vol. (111 p.) |
Collection : | Astérisque ; 439 |
Sujets : | |
Documents associés : | Autre format:
A mod p Jacquet-Langlands relation and Serre filtration via the geometry of Hilbert modular varieties Fait partie de l'ensemble: Astérisque |
LEADER | 02877cam a2200529 4500 | ||
---|---|---|---|
001 | PPN271064323 | ||
003 | http://www.sudoc.fr/271064323 | ||
005 | 20231011060300.0 | ||
010 | |a 978-2-85629-969-2 |b br. | ||
035 | |a (OCoLC)1378269631 | ||
073 | 1 | |a 9782856299692 | |
100 | |a 20230712h20232023k y0frey0103 ba | ||
101 | 0 | |a eng |2 639-2 | |
102 | |a FR | ||
105 | |a y a 000yy | ||
106 | |a r | ||
181 | |6 z01 |c txt |2 rdacontent | ||
181 | 1 | |6 z01 |a i# |b xxxe## | |
182 | |6 z01 |c n |2 rdamedia | ||
182 | 1 | |6 z01 |a n | |
183 | |6 z01 |a nga |2 RDAfrCarrier | ||
200 | 1 | |a A mod p Jacquet-Langlands relation and Serre filtration via the geometry of Hilbert modular varieties |e splicing and dicing |f Fred Diamond, Payman Kassaei & Shu Sasaki | |
214 | 0 | |a Paris |c Société mathématique de France |d DL 2023 | |
215 | |a 1 vol. (111 p.) |d 24 cm | ||
305 | |a N° de : "Astérisque", ISSN 0303-1179, (2023)n°439 | ||
320 | |a Bibliographie pages [109]-111 | ||
330 | |a We consider Hilbert modular varieties in characteristic p with Iwahori level at p and construct a geometric Jacquet-Langlands relation showing that the irreducible components are isomorphic to products of projective bundles over quaternionic Shimura varieties of level prime to p. We use this to establish a relation between mod p Hilbert and quaternionic modular forms that reflects the representation theory of GL_2 in characteristic p and generalizes a result of Serre for classical modular forms. Finally we study the fibres of the degeneracy map to level prime to p and prove a cohomological vanishing result that is used to associate Galois representations to mod p Hilbert modular forms |2 4e de couverture | ||
359 | 2 | |b Shimura varieties |b Automorphic vector bundles |b Iwahori level structures |b A Jacquet-Langlands relation |b The Serre Filtration |b Degeneracy fibers | |
452 | | | |0 272107425 |t A mod p Jacquet-Langlands relation and Serre filtration via the geometry of Hilbert modular varieties |o splicing and dicing |f Fred Diamond, Payman Kassaei & Shu Sasaki |d 2023 |c Paris |n Société mathématique de France | |
461 | | | |0 013566385 |t Astérisque |x 0303-1179 |v 439 | |
606 | |3 PPN031721931 |a Hilbert, Surfaces modulaires de |2 rameau | ||
606 | |3 PPN031649904 |a Formes modulaires |2 rameau | ||
606 | |3 PPN027870766 |a Formes automorphes |2 rameau | ||
606 | |3 PPN035208333 |a Shimura, Variétés de |2 rameau | ||
676 | |a 521.7 | ||
680 | |a QA300 |b .A8 no. 439 | ||
686 | |a 11G18 |c 2010 |2 msc | ||
686 | |a 11F33 |c 2010 |2 msc | ||
686 | |a 11F41 |c 2010 |2 msc | ||
686 | |a 11G35 |c 2010 |2 msc | ||
700 | 1 | |3 PPN099135655 |a Diamond |b Fred |f 1964-.... |4 070 | |
701 | 1 | |3 PPN18184401X |a Kassaei |b Payman L. |f 1973-.... |4 070 | |
701 | 1 | |3 PPN271064609 |a Sasaki |b Shu |f 19..-.... |4 070 | |
801 | 3 | |a FR |b Abes |c 20230921 |g AFNOR | |
930 | |5 441092208:799448729 |b 441092208 |j b | ||
979 | |a CCFA | ||
998 | |a 949996 |