University of Massachusetts Amherst
	Department of Mathematics and Statistics
	Reading Seminar in Algebraic Geometry

Abstract: Derived Algebraic Geometry is an extension of Algebraic Geometry to the level of homotopy theory constructed by Toen and further developed by Lurie. The basic idea is that in order to make intersection of subvarieties reasonably stable under deformations one needs to add a homological algebra the level to the notion of varieties, moreover in order to keep track of identifications one needs the level of homotopy theory. One entertaining consequence is that real manifolds yield objects of new Algebraic Geometry.