Fri, 20 Apr 2007
15:15
L3

Garside's Solution to the Conjugacy Problem in the Braid Group

Tristram de Piro
(Camerino)
Abstract
  I will discuss Garside's representation of elements of the braid group in terms of "half- twists" and the corresponding solution to the Conjugacy Problem, originally posed by Artin. If time permits, I will discuss some geometric implications of this result.  
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.

 

Mon, 26 Mar 2007
15:45
DH 3rd floor SR

From Ising 2D towards Mumford-Shah (joint work with Reda Messikh)

Professor Raphael Cerf
(Universite de Paris XI)
Abstract
  The talk will be self-contained and does not require specific knowledge on the Ising model. I will present the basic results concerning the Wulff crystal of the Ising model and I will study its behaviour near the critical point. Finally I will show how to apply these results to the problem of image segmentation.