Back to Algebraic Geometry Seminar: Fall 2015
Algebraic Geometry Seminar
Date: Tuesday, Nov 24, 2015
Time: 3:30PM - 4:30PM
Location: JFB 102
Adam Boocher
University of Utah
Title |
Hyperplane Sections of Determinantal Varieties |
Abstract |
The set of k by n matrices with rank at most r naturally forms an algebraic variety. Its defining equations are given by determinants and it enjoys many beautiful properties. In this talk I’ll discuss some recent work that describes how these varieties behave upon specialization with some applications to matroids and free resolutions. If time permits, I’ll ask lots of questions about the role of coordinates in algebraic geometry. |
Algebraic Geometry