EVENT DETAILS AND ABSTRACT

Title: Solution Sets of Polynomial Equations and Local Cohomology
Speaker: Alberto Fernandez Boix
Speaker Info: Universitat Pompeu Fabra
Brief Description:
Special Note:
Abstract:

Suppose you have a system of polynomial equations, and look at its solution set; you may ask if this set can be obtained with less equations than the ones you start with. This is, in general, a very hard problem if your polynomials have degree at least two. One possible technique to partially tackle this issue is through the so-called local cohomology groups. The goal of this talk will be, not only to review this important technique, but also to see how to use it to provide partial answers to the above problem, and also to study the connectivity of these solution sets.