Colloquium Mathematics, Hessel Posthuma (UvA)

 

Join us for coffee and tea at 15.45 p.m.

 

 

Date: Tuesday, May 22^nd 2012

Speaker: Hessel Posthuma (UvA)

Room: 5161.0267 (Bernoulliborg)

Time: 16.15

 

 

Title: Lie groupoids and index theory

  

Abstract:

 

The aim of this talk is to explain generalizations of the

index theorem of Atiyah and Singer where, instead of a compact

manifold, the elliptic operators are defined on singular spaces

modeled by a Lie groupoid. I shall start by giving a short

introduction to the theory of Lie groupoids and their applications in

geometry. The set up of these index theorems uses some basic tools of

noncommutative geometry which are introduced next.

With this, the main theorems can be formulated, and, if time permits,

discuss the main ingredients of the proof, some special cases and

applications. 

 

 

 

 

 

 

Colloquium coordinators are Prof.dr. A.C.D. van Enter (e-mail : A.C.D.van.Enter@rug.nl) and

Dr. A.V. Kiselev (e-mail: a.v.kiselev rug.nl )

 

http://www.rug.nl/wiskunde/nieuws/actueel/wiskundecolloquia