Back to Commutative Algebra Seminar: Fall 2018
Commutative Algebra Seminar
Date: Friday, Sep 21, 2018
Time: 2:30PM - 3:20PM
Location: LCB 215
Henning Krause
University of Bielefeld
Title |
The Morita theory for derived categories revisited |
Abstract |
A fundamental theorem of Rickard states for a pair of coherent rings that the categories of perfect complexes are triangle equivalent if and only if their bounded derived categories of finitely presented modules are triangle equivalent. The proofs of both directions are somewhat delicate and not treated properly in any text book. The aim of this talk is to propose new proofs, which should be of independent interest; they involve the notion of Cauchy completion for one direction, and the notion of a distinguished t-structure for the other direction. |
Commutative Algebra