Colloquium-Asaf Hadari (U. Hawai`i)

When:
October 10, 2014 @ 3:30 pm – 4:30 pm
2014-10-10T15:30:00-10:00
2014-10-10T16:30:00-10:00
Where:
Keller 401

Speaker: Asaf Hadari (U. Hawai`i)

Title: Polynomial equations with varying exponents.

Abstract: There is a rich and classical theory concerning the following question: how do the roots of a polynomial vary when you vary its coefficients? I’d like to talk about a surprisingly unexplored related question: how do the roots of a polynomial vary when you freeze its coefficients, but vary the exponents?

I’ll give some examples where this question turns out to be important (some from 3-manifold theory and some from graph theory), discuss what questions might be natural to ask about the roots, and then answer the questions.