000			01559cam a22002898i 4500
001			138299
003			ISI Library, Kolkata
005			20180426160125.0
008			161201s2017 riu b 001 0 eng
020			_a9781470435691 (alk. paper)
040			_aISI Library
082	0	4	_a510MS _223 _bAm512
100	1		_aGaitsgory, Dennis, _eauthor
245	1	0	_aStudy in derived algebraic geometry : _bvolume I: correspondences and duality / _cDennis Gaitsgory and Nick Rozenblyum.
260			_aProvidence : _bAmerican Mathematical Society, _c2017.
300			_axl, 533 pages ; _c26 cm.
490	0		_aMathematical surveys and monographs ; _vv 221.
504			_aIncludes bibliographical references and index.
505	0		_avolume 1. Correspondences and duality.
520			_aDerived algebraic geometry is a far-reaching generalization of algebraic geometry. It has found numerous applications in various parts of mathematics, most prominently in representation theory. This volume develops the theory of ind-coherent sheaves in the context of derived algebraic geometry. Ind-coherent sheaves are a "renormalization" of quasi-coherent sheaves and provide a natural setting for Grothendieck-Serre duality as well as geometric incarnations of numerous categories of interest in representation theory. This volume consists of three parts and an appendix.
650		0	_aAlgebraic geometry.
650		0	_aDuality theory (Mathematics)
650		0	_aLie algebras.
650		0	_aGeometry.
700	1		_aRozenblyum, Nick, _eauthor
942			_2ddc _cBK
999			_c424424 _d424424