Commutative Algebra and its Interactions A conference in honor of Mel Hochster July 31 - August 5, 2008 Abstract Detail   Title: Modules with a Frobenius action The action of the Frobenius on various objects is the main tools in positive characteristic algebra. In this talk I will recall several notions of modules with a Frobenius action which were used in our field with great success. Then I report on some recent joint work with Boeckle which relates these different notions with each other via a Grothendieck-Serre duality which is enriched with an action of the Frobenius. A key feature is that three of Grothendiecks six operations are preserved under this equivalence. An applications to local invariants will also be outlined. Manuel Blickle Universität Essen Email:  manuel.blickle@gmail.com Phone: +492011832546   BACK to Speaker Listing BACK to Conference Home