000 01597cam a22002898i 4500
001 138300
003 ISI Library, Kolkata
005 20180426161033.0
008 161201s2017 riu b 001 0 eng
020 _a9781470435707 (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 II: deformations Lie theory and formal geometry /
_cDennis Gaitsgory and Nick Rozenblyum.
260 _aProvidence :
_bAmerican Mathematical Society,
_c2017.
300 _axxxv, 436 pages ;
_c26 cm.
490 0 _aMathematical surveys and monographs ;
_vv 221.
504 _aIncludes bibliographical references and index.
505 0 _avolume 2. Deformations, Lie theory, and formal geometry.
520 _aDerived algebraic geometry is a far-reaching generalization of algebraic geometry. It has found numerous applications in other parts of mathematics, most prominently in representation theory. This volume develops deformation theory, Lie theory and the theory of algebroids in the context of derived algebraic geometry. To that end, it introduces the notion of inf-scheme, which is an infinitesimal deformation of a scheme and studies ind-coherent sheaves on such. As an application of the general theory, the six-functor formalism for D-modules in derived geometry is obtained.
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 _c424425
_d424425