000			03604cam a2200421 i 4500
001			1366058121
003			OCoLC
005			20241217123535.0
006			m o d
007			cr cnu---unuuu
008			230211t20232023enka ob 001 0 eng
010			_a2022060655
020			_z9781108831963 _qhardcover
035			_a(OCoLC)1366058121 _z(OCoLC)1369641111 _z(OCoLC)1369645144
040			_aDLC _beng _erda _cDLC _dN$T _dYDX _dUKAHL _dEBLCP _dOCLCF _dYDX _dCAMBR _dOCLCQ _dOCLCO _dS9M _dCOV
042			_apcc
050	0	4	_aQA174.2 _b.K35 2023eb
082	0	0	_a512.2 _223/eng20230410
100	1		_aKaletha, Tasho, _0https://id.loc.gov/authorities/names/nb2023001546 _eauthor.
245	1	0	_aBruhat-Tits theory : _bA new approach / _cTasho Kaletha, Gopal Prasad.
264		1	_aCambridge, United Kingdom ; _aNew York, NY : _bCambridge University Press, _c2023.
264		4	_c©2023.
300			_axxx, 718 pages : _billustrations.
336			_atext _btxt _2rdacontent.
490	1		_aNew mathematical monographs ; _v44.
504			_aIncludes bibliographical references and indexes.
505	0		_aAffine root systems and abstract buildings -- Algebraic groups -- Examples: quasi-split simple groups of rank 1 -- Overview and summary of Bruhat-Tits theory -- The Apartment -- The Bruhat-Tits building for a valuation of the root datum -- Integral models -- Unramified descent -- Residue field F of dimension <1 -- Component groups of integral models -- Finite group actions and tamely ramified descent -- Moy-Prasad filtrations -- Functorial properties -- The buildings of classical groups via Lattice chains -- Classification of maximal unramified tori (dʼaprès DeBacker) -- Classification of tamely ramified maximal tori -- The volume formula.
520			_a"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. For more experienced readers looking to learn the essentials for use in their own work, there is also 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 the integral models of tori"-- _cProvided by publisher.
650		0	_aBuildings (Group theory) _0https://id.loc.gov/authorities/subjects/sh88005178.
650		0	_aNumber theory. _0https://id.loc.gov/authorities/subjects/sh85093222.
655		0	_aElectronic books.
700	1		_aPrasad, Gopal, _0https://id.loc.gov/authorities/names/n80058174 _eauthor.
776	0	8	_iPrint version: _aKaletha, Tasho. _tBruhat-Tits theory _dCambridge ; New York : Cambridge University Press, 2023 _z9781108831963 _w(DLC) 2022060654.
830		0	_aNew mathematical monographs ; _0https://id.loc.gov/authorities/names/n2003010567 _v44.
856	4	0	_zAccess online _uhttps://unco.idm.oclc.org/login?url=https://ebookcentral.proquest.com/lib/UNCO/detail.action?docID=7186351
907			_a.b488950636
942			_2ddc _cCART _n0
999			_c36804 _d36804