Commutative Algebra seminar

Speaker: Aditya Dwivedi (IIT Bombay)

Host: Tony Puthenpurakal

Title: Briançon-Skoda theorem in positive characteristics.

Time, day and date: 4:00:00 PM, Tuesday, April 15

Venue: Ramanujan Hall

Abstract: Briançon-Skoda theorem was initially proved for regular local rings by Lipman and Sathaye in 1981. Lipman and Teissier further generalized it to refer to arbitrary rings that have pseudo-rational singularities. In positive characteristics, the notion of ring having pseudo-rational singularities translates to the ring being F-rational, which is a property about tight closure. We will both state and prove the positive characteristic version of the Briançon-Skoda theorem in this talk. The result is due to Aberbach and Huneke.