Commutative algebra seminar
Date and time: Tuesday, 20 December 2022, 3pm
Venue: Ramanujan Hall
Speaker: Shravan Patankar, University of Illinois, Chicago, IL, USA
Title: Vanishing of Tors of absolute integral closure in equi-characteristic zero
Abstract: We show that the vanishing of Tors of the absolute integral closure forces regularity assuming further that the ring under consideration is IN-graded of dimension 2. This answers a question of Bhargav Bhatt, Srikanth Iyengar, and Linchuan Ma. We use almost mathematics over R+ to deduce properties of the Noetherian ring R and the theory of rational surface singularities. In particular, in spite of being a question purely in commutative algebra our proof uses algebro-geometric methods.