Noncommutative geometry aims at studying, with a geometric approach, structures for which the algebra of regular functions on a manifold is substituted with a noncommutative algebra. Tools from functional analysis and operator algebras are used to construct, in a noncommutative framework, analogues of such things as homology, cohomology, K-theory and so on, which are typical of classical geometry. Among the most important models of noncommutative geometry there are those coming from quantum theories in diverse forms, starting with quantum mechanics and arriving to quantum field theories and quantum gravity. And there are applications to a variety of fields including number theory.

This workshop will be centred on a series of lectures by Alain Connes as final part of his usual course at the Collège de France, Parigi. There will also be a series of talks covering several aspects of noncommutative geometry, quantum groups, operator algebras and their applications in mathematics and physics.

The workshop is the final one for the Italian-French project GREFI-GENCO on Noncommutative Geometry.

Scientific committee:
Fabio Cipriani (Politecnico Milano)
Daniele Guido (Università Roma Tor vergata)
Giovanni Landi (Università Trieste)
Jean-Luc Sauvageot (CNRS, Paris-Diderot)
Georges Skandalis (Université Paris-Diderot)
Stéphane Vassout (Université Paris-Diderot)

Organizing committee:
Ludwik Dabrowski (SISSA)
Giovanni Landi (Università Trieste)
Fernando Rodriguez Villegas (ICTP)