Commutative Algebra seminar
Speaker: Sayed Sadiqul Islam (IIT Bombay)
Title: Frobenius endomorphism and applications
Time, day and date: 4:00:00 PM, Tuesday, February 4
Venue: Ramanujan Hall

Abstract
We explore the use of the Frobenius homomorphism to study the structure of local cohomology modules over rings of characteristic p. While local cohomology modules are not always finitely generated, we show that they exhibit important finiteness properties under certain conditions. Specifically, we use filter regular sequences to provide a proof that the set of associated prime ideals of the local cohomology modules is finite when the ring R has finite F-representation type or a finite singular locus. We also prove same results for regular rings of characteristic p.