Commutative Algebra seminar
Speaker: Sayed Sadiqul Islam, IIT Bombay
Host: Tony Puthenpurakal
Title: ON THE MATLIS DUALS OF LOCAL COHOMOLOGY MODULES
Time, day and date: 4:00:00 PM - 5:00:00 PM, Thursday, October 30
Venue: Ramanujan Hall
Abstract: Let R be a regular local ring of positive characteristic. Let M be a local cohomology module H^i_I(R) for any non-zero ideal I of R. We show that if M is non-zero then the support of D(M), where D is the Matlis-dual functor, is the whole Spec(R). The proof is due to Lyubeznik and Yildirim and uses techniques from F-module theory.