Date & Time: Monday, December 01, 2008, 14:30- 15:30.
Venue: Ramanujan Hall
Title: Recent Progress on Local Cohomology - III
Speaker: Gennady Lyubeznik, University of Minnesota
Abstract: After a brief introduction to local cohomology we plan to discuss some striking new results that have been proven in the last 3-5 years. These include our joint work with Craig Huneke on the Cohen-Macaulayness of the absolute integral closure of a local domain in characteristic p>0; a criterion for the vanishing of local cohomology groups in regular local rings of characteristic p>0; and the very recent and very striking results of our student Wenliang Zhang on some local cohomology invariants of local rings and projective varieties.