Title: Solving Polynomials, Resolvent Degree, and Geometry
Speaker: Alexander Sutherland (UC Irvine)
Speaker's URL: https://sites.google.com/view/alexsutherland
Abstract: Given a general polynomial $f_n(z)$ of degree $n$, how can we (algebraically) determine a root of $f_n(z)$ in terms of its coefficients as simply as possible? Resolvent degree is an invariant measuring complexity that is both classically motivated by this problem and widely applicable, as we can study the resolvent degree of branched covers of varieties, field extensions, groups, representations, etc. In this talk, we will introduce resolvent degree and examine recent upper bounds on the resolvent degree of solving general polynomials, which are obtained by determining special points on certain varieties.
Some of the results in this talk are joint with Curtis Heberle.
URL associated with Seminar
https://research.math.osu.edu/agseminar/
