000			02697nam a22003618i 4500
001			CR9780511661969
003			UkCbUP
005			20200124160217.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			091215s1997||||enk o ||1 0|eng|d
020			_a9780511661969 (ebook)
020			_z9780521470612 (hardback)
020			_z9780521109901 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA251 _b.L287 1997
082	0	0	_a512/.24 _220
100	1		_aLaumon, Gérard, _eauthor.
245	1	0	_aCohomology of Drinfeld modular varieties. _nPart 2, _pAutomorphic forms, trace formulas, and Langlands correspondence / _cGérard Laumon ; appendix by Jean Loup Waldspurger.
264		1	_aCambridge : _bCambridge University Press, _c1997.
300			_a1 online resource (xi, 366 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge studies in advanced mathematics ; _v56
500			_aTitle from publisher's bibliographic system (viewed on 31 May 2016).
520			_aCohomology of Drinfeld Modular Varieties provides an introduction, in two volumes, both to this subject and to the Langlands correspondence for function fields. These varieties are the analogues for function fields of the Shimura varieties over number fields. The Langlands correspondence is a conjectured link between automorphic forms and Galois representations over a global field. By analogy with the number-theoretic case, one expects to establish the conjecture for function fields by studying the cohomology of Drinfeld modular varieties, which has been done by Drinfeld himself for the rank two case. This second volume is concerned with the Arthur-Selberg trace formula, and with the proof in some cases of the Rmamanujan-Petersson conjecture and the global Langlands conjecture for function fields. It is based on graduate courses taught by the author, who uses techniques which are extensions of those used to study Shimura varieties. Though the author considers only the simpler case of function rather than number fields, many important features of the number field case can be illustrated. Several appendices on background material keep the work reasonably self-contained. It is the first book on this subject and will be of much interest to all researchers in algebraic number theory and representation theory.
650		0	_aDrinfeld modular varieties.
650		0	_aHomology theory.
776	0	8	_iPrint version: _z9780521470612
830		0	_aCambridge studies in advanced mathematics ; _v56.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511661969
999			_c516381 _d516379