Algebraic Geometry Seminar

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How to Count Zeros Arithmetically?

Speaker: Jesse Kass, University of South Carolina

Location: Warren Weaver Hall 1314

Date: Tuesday, October 13, 2015, 3:30 p.m.

Synopsis:

A celebrated result of Eisenbud-Kimshaishvili-Levine computes the local Brouwer degree of a real polynomial function at an isolated zero as the signature of a quadratic form. I will discuss a parallel result in A¹-homotopy theory, and time permitting, explain how to study a singularity by applying these results to the gradient of a defining equation. This is joint work with Kirsten Wickelgren.