Back to Commutative Algebra Seminar: Fall 2022
Commutative Algebra Seminar
Date: Friday, Nov 11, 2022
Time: 2:00PM - 3:00PM
Location: LCB 222
Peter McDonald
University of Utah
Title |
Homological properties of the relative Frobenius map |
Abstract |
Given a noetherian ring of positive characteristic, Kunz proved that the Frobenius endomorphism is flat if and only if the ring is regular. Radu and André established an analogue for homomorphisms of noetherian rings of positive characteristic, proving that such a map regular if and only if the relative Frobenius map is flat. In this talk, we present more general results of this ilk, relating the homological properties of the fibers of a ring homomorphism to those of the relative Frobenius map. |
Commutative Algebra