Schedule

List of participants

Sponsors

Abstracts

Slides, Notes

Videos

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CONFERENCE

Conference on Noncommutative Geometry

November 2 - 6, 2015

One of the aims of noncommutative geometry is to generalize the main tools of geometry to a class of regular enough C*-algebras that can be considered as «noncommutative spaces» and  thus get applications in geometry, analysis, number theory and quantum mechanics. This involves many different tools and questions. This conference will make an overview of some of them :

• Index theorems and applications.

• Applications of cohomological theories. Baum-Connes conjecture.

• Geometric group theory and Von Neumann Algebras.

• Quantum Groups, subfactors.

• Groupoids and applications.

We intend to spend one day on each of the preceding themes. An expert of each theme will be asked to give an overview of the subject, and this will be followed by more recent results or particularly important results. The aim is to get an overview on the recent progress on all of these themes together with a glimpse of their interactions.

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Scientific & Organizing Committee

Claire Debord (Université Blaise Pascal Clermont-Ferrand)
Pierre-Yves Le Gall (Université Paris-Sud)
Jean-Louis Tu (Université de Lorraine)
Stefaan Vaes (K.U. Leuven University)
Stéphane Vassout (Université Paris Diderot)
Roland Vergnioux (Université de Caen)

Speakers

• Claire Anantharaman (Université d'Orléans)

From groups to semigroups and groupoids

• Saad Baaj (Université Blaise Pascal, Clermont-Ferrand)
  

Quelques applications de l'équivalence monoidale des groupes quantiques localement compacts

• Alain Connes (Collège de France)

Unification et modèle spectral

• Joachim Cuntz (University of Münster)
  

C*-algebras associated with algebraic actions

• Yves De Cornulier (Université Paris-Sud)

Central extensions of current Lie algebras

• Mikael De la salle (CNRS, ENS de Lyon)

Group actions on Banach spaces

• Pierre Fima (Université Paris Diderot)
  

Compact bicrossed products

• Damien Gaboriau (ENS Lyon)
  

Geometric dimension and approximations in orbit equivalence

• Emmanuel Germain (Université de Caen)

KK-theory for reduced free product C*-algebras

• Nigel Higson (Penn State University)

The geometry and noncommutative geometry of parabolic induction

• Cyril Houdayer (Université Paris-Sud)
  

Asymptotic structure and rigidity of free product von Neumann algebras

• Gennadi Kasparov (Vanderbilt University)

On the Lp Baum-Connes conjecture

• Vincent Lafforgue (Université d'Orléans)

Quelques aperçus du programme de Langlands

• Victor Nistor (Université de Lorraine)

Representations of groupoid C*-algebras and invertibility

• Paolo Piazza (Sapienza University of Rome)
  

Indomitable rho-invariants

• Sorin Popa (UCLA)

Approximating freeness under constraints, with applications

• Jean Renault (Université d'Orléans)

Semigroupes, P-graphes et groupoïdes

• Mikael Rordam (University of Copenhagen)

Supramenable groups and their actions on locally compact spaces and
C*-algebras

• Thomas Schick (University of Göttingen)

Homotopy invariants of closed manifolds through higher signatures

• Dimitri Shlyakhtenko (UCLA)

Free probability of type B and asymptotics of nite-rank perturbations of ran-
dom matrices

• Stefaan Vaes (KU Leuven)

Cohomology and L2-Betti numbers for subfactors and quasi-regular inclusions

• Alain Valette (University of Neuchâtel)

Expanders and box spaces

• Dan-Virgil Voiculescu (UC Berkeley)

The bi-free extension of free probability

• Guoliang Yu (Texas A&M University)

Dimension and K-theory