Schedule
Saturday May 27th 
* 
Monday May 29th 
Tuesday May 30th 
Wednesday May 31st 

8:30 
Coffee  Coffee 
Coffee 
Coffee 

9:00  10:15 
JP Brasselet  JP Brasselet 
JP Brasselet 
Paolo Aluffi 

10:45  12:00 
Tatsuo Suwa  Tatsuo Suwa 
Tatsuo Suwa 
Jörg Schürmann 

13:30  14:45 
Paolo Aluffi  Paolo Aluffi 
Paolo Aluffi 


15:15  16:30 
Jörg Schürmann  Jörg Schürmann  Jörg Schürmann 




19:00 
CONFERENCE DINNER 

* Sunday schedule:
8:30 
9:0010:15 
10:3011:45 
12:0013:00  
SUNDAY May 28th 
Coffee  JP Brasselet  Tatsuo Suwa  Matilde Marcolli 
Short description of lectures
Paolo Aluffi:
In my lectures I will stress the "computability" of several characteristic classes, and in particular of the functorial ChernSchwartzMacPherson classes. I will emphasize the role of Segre classes, and relations with standard and nottoostandard commutative algebra.
I will also present two constructions of ChernSchwartzMacPherson classes relying on the factorization theorem of Abramovich et al. and on taking limits of Chow groups.
A tentative plan for the lectures is as follows:
Lecture 1: Characteristic classes and playing with blocks
Lecture 2: Segre and SchwartzMacPherson, Fulton, FultonJohnson classes
Lecture 3: The hypersurface case, and some commutative algebra
Lecture 4: CSM classes through limits
JP Brasselet: A short programme of my lectures:
1. PoincaréHopf Theorem
 smooth case, with (and without) boundary,
 case of singular varieties (radial vector fields).
2. Characteristic classes by obstruction theory in the smooth case,
3. Singular varieties: triangulations, stratifications.
4. Characteristic classes in the singular case
 by obstruction theory (Schwartz classes),
 MacPherson classes,
 examples.
 brief survey of other classes.
Matilde Marcolli: Renormalization and Galois symmetries I will talk about joint work with Alain Connes where we describe the RiemannHilbert correspondence underlying the ConnesKreimer theory of renormalization in perturbative quantum field theory. The resulting Galois group is universal with respect to renormalizable physical theories and can be identified with the motivic Galois group of a category of mixed Tate motives.
Jörg Schürman:
Lecture 1: Constructible functions and sheaves.
Introduction to the calculus of constructible functions and sheaves on stratified spaces, including Poincar'eVerdier duality together with Grothendieck and Witt groups of constructible sheaves.
Lecture 2: Characteristic classes of Lagrangian cycles.
Introduction to stratified Morse theory for constructible functions and Lagrangian cycles. Applications to Poincar'eHopf index theorems and indices of 1forms on stratified spaces. StiefelWhitney and Chern classes of (selfdual) constructible functions.
Lecture 3: Lclasses of selfdual constructible sheaves.
Intersection cohomology and Lclasses of stratified Witt spaces after GoreskyMacPherson and Siegel. The Lclass transformation of CappellShaneson for selfdual constructible sheaves.
Lecture 4: Motivic characteristic classes of singular spaces.
Survey of recent developments in the theory of motivic characteristic classes of singular spaces
Tatsuo Suwa: Characteristic classes of singular varieties
In my lectures, I discuss such characteristic classes of singular varieties as the SchwartzMacPherson class and the FultonJohson class. They will be treated in the framework of localization theory using the ChernWeil theory adapted to triangulated spaces. Then the Milnor classe naturally appears as the difference of these two classes, which is a priori localized at the singular set of the variety.
I also discuss, as another type of characteristic classes on singular varieties, the homology Chern characters and classes of coherent sheaves, in particular the tangent sheaf, on singular varieties.