Commutative Algebra and its Interactions A conference in honor of Mel Hochster July 31 - August 5, 2008 Abstract Detail   Title: New avatars of Intersection Theorems The classical intersection theorems in commutative algebra deal with modules or with complexes of modules over commutative rings. In recent joint work with Ragnar-Olaf Buchweitz, Srikanth Iyengar, and Claudia Miller, similar results have been shown to hold for differential modules, that is, modules equipped with a square-zero endomorphism. At present they are restricted to algebras over a field, or to low dimensions, as Mel Hochster's maximal Cohen-Macaulay modules play an essential role at one step of the proof. Luchezar Avramov University of Nebraska -- Lincoln Email:  avramov@math.unl.edu Phone: 402 472 3085   BACK to Speaker Listing BACK to Conference Home