Joe Harris : Interpolation for polynomials in several variables

Posted by Cheng Ouyang , part of the Departmental Colloquium.

At

April 10, 2015, 3 p.m.

In

SEO 636

Abstract

An elementary theorem says that we can always find a polynomial $f(x)$ of degree $d$ or less having specified values at $d+1$ given points $x$. When we try to state (let alone prove) an analogue for polynomials in several variables, however, we run into immediate difficulties. In this talk, I’ll try to show that the difficulties lie in the geometry of the points, and suggest at least a conjectural answer to the problem.

Opening lecture: Midwest Algebraic Geometry Graduate Conference