The number of equations defining an algebraic set, and connections with invariant theory

Given an algebraic set, i.e., the solution set of a family of polynomial equations, what is the least number of polynomials needed to define this set? The question is surprisingly difficult, with a rich history. We will discuss some of this history, with a special focus on examples coming from classical invariant theory. This includes results of Bruns, Bruns-Schwänzl, Barile, and our ongoing joint work with Jeffries, Pandey, and Walther.

Bio
https://faculty.utah.edu/u0175334-ANURAG_K_SINGH/hm/index.hml