Speaker: Fuxiang Yang
University of Notre Dame
Will give a Graduate Student Seminar entitled:
Syzygy and Geometry
Abstract: Algebraic Geometry is a subject that studies the set of solutions of a system of polynomial equations. We call such a set of solutions a variety. It is natural to ask: Given a variety, how can we recover the system of equations? Moreover, how can we measure the complexity of a variety by looking at its defining equations, relations between those equations, relations between the relations, etc. This collection of equations, relations, and higher relations is what we call syzygies. In this talk, we are going to talk about some connections between syzygy and geometry.
Date: 02-10-2025
Time: 1:00 pm
Location: 258 Hurley Bldg