This is the first book in English on Bruhatâ Tits theory, an important topic in number theory, representation theory, and algebraic geometry. A comprehensive account of the theory, it can serve both as a reference for researchers in the field and as a thorough introduction for graduate students and early career mathematicians.
This is the first book in English on Bruhatâ Tits theory, an important topic in number theory, representation theory, and algebraic geometry. A comprehensive account of the theory, it can serve both as a reference for researchers in the field and as a thorough introduction for graduate students and early career mathematicians.
Tasho Kaletha is Professor of Mathematics at the University of Michigan. He is an expert on the Langlands program, and has studied arithmetic and representation-theoretic aspects of the local Langlands correspondence for p-adic groups.
Inhaltsangabe
Introduction Part I. Background and Review: 1. Affine root systems and abstract buildings 2. Algebraic groups Part II. Bruhat-Tits theory: 3. Examples: Quasi-split groups of rank 1 4. Overview and summary of Bruhat-Tits theory 5. Bruhat, Cartan, and Iwasawa decompositions 6. The apartment 7. The Bruhat-Tits building for a valuation of the root datum 8. Integral models 9. Unramified descent Part III. Additional Developments: 10. Residue field f of dimension ¿ 1 11. The buildings of classical groups via lattice chains 12. Component groups of integral models 13. Finite group actions and tamely ramified descent 14. Moy-Prasad filtrations 15. Functorial properties Part IV. Applications: 16. Classification of maximal unramified tori (d'après DeBacker) 17. Classification of tamely ramified maximal tori 18. The volume formula Part V. Appendices: A. Operations on integral models B. Integral models of tori C. Integral models of root subgroups References Index.
Introduction Part I. Background and Review: 1. Affine root systems and abstract buildings 2. Algebraic groups Part II. Bruhat-Tits theory: 3. Examples: Quasi-split groups of rank 1 4. Overview and summary of Bruhat-Tits theory 5. Bruhat, Cartan, and Iwasawa decompositions 6. The apartment 7. The Bruhat-Tits building for a valuation of the root datum 8. Integral models 9. Unramified descent Part III. Additional Developments: 10. Residue field f of dimension ¿ 1 11. The buildings of classical groups via lattice chains 12. Component groups of integral models 13. Finite group actions and tamely ramified descent 14. Moy-Prasad filtrations 15. Functorial properties Part IV. Applications: 16. Classification of maximal unramified tori (d'après DeBacker) 17. Classification of tamely ramified maximal tori 18. The volume formula Part V. Appendices: A. Operations on integral models B. Integral models of tori C. Integral models of root subgroups References Index.
Es gelten unsere Allgemeinen Geschäftsbedingungen: www.buecher.de/agb
Impressum
www.buecher.de ist ein Internetauftritt der buecher.de internetstores GmbH
Geschäftsführung: Monica Sawhney | Roland Kölbl | Günter Hilger
Sitz der Gesellschaft: Batheyer Straße 115 - 117, 58099 Hagen
Postanschrift: Bürgermeister-Wegele-Str. 12, 86167 Augsburg
Amtsgericht Hagen HRB 13257
Steuernummer: 321/5800/1497
USt-IdNr: DE450055826
