Izzet Coskun : The interpolation problem

Posted by Lawrence Ein , part of the Departmental Colloquium.

At

Feb. 8, 2008, 3 p.m.

In

SEO 636

Abstract

The interpolation problem asks "Is there a polynomial of degree $d$ with prescribed Taylor polynomials at given points?" This problem comes up in contexts ranging from algebraic geometry to statistics. I will describe cases where we know the solution of the problem---focusing mainly on the geometric aspects. I will also explain the connections between the interpolation problem and other famous problems such as the problem of finding the dimension of secant varieties.