Back to Commutative Algebra Seminar: Fall 2017
Commutative Algebra Seminar
Date: Friday, Dec 8, 2017
Time: 2:30PM - 3:20PM
Location: LCB 215
Lukas Katthaen
University of Minnesota
Title |
Multiplicative structures on minimal free resolutions of monomial ideals |
Abstract |
The minimal free resolution of a quotient of the polynomial ring admits a (generally non-associative) multiplication which satisfies the Leibniz rule. This multiplication is far from being unique and in favorable cases it can be chosen to be associative, which turns the resolution into a DGA. In this talk, I consider these multiplicative structures in the setting of monomial ideals. On the one hand, I will present some structure theorems about these multiplications, and on the other hand, I will show that the presence of an associative multiplication has implications on the possible Betti numbers of the ideal. |
Commutative Algebra