Gopal Prasad: Bruhat-Tits Theory | Buch

Cover: 9781108831963 | Bruhat-Tits Theory | A New Approach | Gopal Prasad (u. a.) | Buch

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Sprache: Englisch

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Beschreibung

This is the first book in English on Bruhat-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.

Über den Autor

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.

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2023
Fachbereich:	Arithmetik & Algebra
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Reihe:	New Mathematical Monographs
Inhalt:	Gebunden
ISBN-13:	9781108831963
ISBN-10:	1108831966
Sprache:	Englisch
Einband:	Gebunden
Autor:	Prasad, Gopal Kaletha, Tasho
Hersteller:	Cambridge University Press New Mathematical Monographs
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	236 x 161 x 51 mm
Von/Mit:	Gopal Prasad (u. a.)
Erscheinungsdatum:	26.01.2023
Gewicht:	1,254 kg