Special Seminar

Title: Solutions of families of polynomial equations
Speaker: Professor Jason Starr
Speaker Info: MIT
Brief Description:
Special Note:

Given a system of polynomials depending on parameters, when is there a polynomial map in the parameters whose output is a solution of the system for that choice of parameters? For 1-parameter systems, there is a polynomial map if for a general choice of the parameter every pair of solutions of the system can be connected by a 1-parameter family of solutions, i.e., if the variety is "rationally connected". I will discuss this theorem, the geometric interpretation and some consequences, and a conjecture for 2-parameter systems.
Date: Monday, January 23, 2006
Time: 3:00pm
Where: Lunt 105
Contact Person: Prof. Donald Saari
Contact email: elton@math.northwestern.edu
Contact Phone: 847-491-8541
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