Online-Ressource
Verfasst von:	Kaletha, Tasho [VerfasserIn]
	Prasad, Gopal [VerfasserIn]
Titel:	Bruhat-Tits theory
Titelzusatz:	a new approach
Verf.angabe:	Tasho Kaletha (University of Michigan, Ann Arbor), Gopal Prasad (University of Michigan, Ann Arbor)
Verlagsort:	Cambridge
Verlag:	Cambridge University Press
Jahr:	2023
Umfang:	1 Online-Ressource (xxx, 718 Seiten)
Illustrationen:	Diagramme
Gesamttitel/Reihe:	New mathematical monographs ; 44
Fussnoten:	Title from publisher's bibliographic system (viewed on 16 May 2023)
ISBN:	978-1-108-93304-9
Abstract:	Bruhat-Tits theory is an important topic in number theory, representation theory, harmonic analysis, and algebraic geometry. This book gives the first comprehensive treatment of this theory over discretely valued Henselian fields. It can serve both as a reference for researchers in the field and as a thorough introduction for graduate students and early career mathematicians. Part I of the book gives a review of the relevant background material, touching upon Lie theory, metric geometry, algebraic groups, and integral models. Part II gives a complete, detailed, and motivated treatment of the core theory as well as an axiomatic summary of Bruhat-Tits theory that suffices for the main applications. Part III treats modern topics that have become important in current research. Part IV provides a few sample applications of the theory. The appendices contain further details on the topic of integral models, including a detailed study of integral models.
DOI:	doi:10.1017/9781108933049
URL:	Resolving-System: https://doi.org/10.1017/9781108933049
	DOI: https://doi.org/10.1017/9781108933049
Schlagwörter:	(s)Bruhat-Tits-Gebäude    / (s)Reduktive Gruppe    / (s)Topologische Gruppe    / (s)Darstellungstheorie    / (s)Maximaler Toroid    / (s)Gruppenschema    / (s)Bewertung <Mathematik>
Datenträger:	Online-Ressource
Sprache:	eng
Bibliogr. Hinweis:	Erscheint auch als : Druck-Ausgabe: Kaletha, Tasho: Bruhat-Tits theory. - Cambridge : Cambridge University Press, 2023. - xxx, 718 Seiten
K10plus-PPN:	1850599602
Verknüpfungen:	→ Übergeordnete Aufnahme
	Universitätsbibliothek
Lokale URL UB:	Zum Volltext