Back to Commutative Algebra Seminar: Spring 2019
Commutative Algebra Seminar
Date: Friday, Feb 1, 2019
Time: 2:30PM - 3:20PM
Location: LCB 222
Claudia Miller
Syracuse University
Title |
Betti numbers of the Frobenius powers of the maximal ideal over generic hypersurfaces in 3 variables |
Abstract |
We discuss the conjectured curious behavior of the Betti numbers of the Frobenius powers of the maximal ideal in hypersurfaces k[x,y,z]/(f), where k is an infinite field of any positive characteristic p, such as 1000000000000066600000000000001. Indeed, if f is chosen generically, then high enough Frobenius powers of the maximal ideal have identical graded Betti numbers up to explicit shifts. The proof is based on our constructions of free resolutions of relatively compressed Artinian graded algebras. This is joint work with Hamid Rahmati and Rebecca R.G. |
Commutative Algebra