Back to Commutative Algebra Seminar: Fall 2024
Commutative Algebra Seminar
Date: Friday, Aug 30, 2024
Time: 2:00PM - 3:00PM
Location: LCB 222
Adam Boocher
University of San Diego
Title |
Arithmetic in the Boij Soederberg Cone |
Abstract |
A finitely generated graded module over a polynomial ring can have the property that it is generated in a single degree. Further, it may happen that all of its relations have the same degree, and so on with all subsequent relations (syzygies). Such modules are called pure, and remarkably, the numeric data of the minimal free resolution of a pure module is known precisely, up to a scalar multiple. Motivated by some classical questions concerning syzygies, I will discuss how these lead naturally to systems of diophantine equations and will share some interesting observations. This is joint work with two undergraduate students, Noah Huang and Harrison Wolf. |
Commutative Algebra