Gaitsgory, DennisRozenblyum, Nick2015-03-032014Gaitsgory, Dennis, and Nick Rozenblyum. 2014. "DG indschemes." In Perspectives in Representation Theory (Contemporary Mathematics 610)(Proceedings of a Conference in Honor of Igor Frenkel’s 60th Birthday), eds. Pavel Etingof, Mikhail Khovanov, and Alistair Savage, May 12–17, 2012, Yale University, New Haven, CT, 139-152. Providence, RI: American Mathematical Society.978-0-8218-9170-4978-1-4704-1523-50271-41321098-3627http://nrs.harvard.edu/urn-3:HUL.InstRepos:14071841We develop the notion of indscheme in the context of derived algebraic geometry, and study the categories of quasi-coherent sheaves and ind-coherent sheaves on indschemes. The main results concern the relation between classical and derived indschemes and the notion of formal smoothness.en-USalgebraic geometryConference Paper2015-03-03