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September 20, 2010
Monday, September 20
Geometry and Topology
Time: 15:30
Speaker: Parker Lowrey (Western)
Title: "Descent for derived categories"
Room: MC 107

Abstract: Classically, in algebraic geometry, descent for quasi-coherent sheaves is valid for maps between schemes satisfying certain flatness and finiteness conditions. With the machinery developed in stable infinity categories, one can extend decent to the stable infinity category $QCoh(X)$ (whose homotopy category is the derived category of the scheme $X$) and to maps that are not necessarily flat. We will give some examples and discuss plausible conditions on maps to satisfy descent.