Wed, 28 Mar 2007
15:00
L3

Blurred exponentiation and the geometry of exponential fields

Jonathan Kirby
(UIC, Chicago)
Abstract
  I will discuss the proof that the exponential algebraic closure operator on the complex exponential field is isomorphic to the pregeometry which controls the "pseudoexponential" field.  
Wed, 28 Mar 2007
11:00
L3

From Polynomial Interpolation to the Complexity of Ideals

David Eisenbud, MSRI
(Berkeley)
Abstract

 

 

One natural question in interpolation theory is: given a finite set of points

in R^n, what is the least degree of polynomials on R^n needed to induce every

function from the points to R? It turns out that this "interpolation degree" is

closely related to a fundamental measure of complexity in algebraic geometry

called Castelnuovo-Mumford regularity. I'll explain these ideas a new

application to projections of varieties.

 

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