|Date: Monday, March 14, 2022
Location: 3866 East Hall (4:00 PM to 5:00 PM)
Title: Combinatorial Nullstellensatz and its Applications
Abstract: The Combinatorial Nullstellensatz is a statement about zeroes of a multi-variable polynomial over a field. It has seen a remarkable number of applications to number theory, enumerative combinatorics, and graph theory. Roughly speaking, it gives quantitative information on how a polynomial of a certain degree cannot vanish over a large enough set of values.
In this talk I will briefly explain the statement of this theorem, and then illustrate through examples a general technique for using it to prove a variety of powerful results.
Speaker: Urshita Pal