Noncommutative Geometry and Applications to Quantum Physics

Noncommutative Geometry (NCG) is a vivid research subject in Mathematics and Physics. The main goal of this school is to train local researchers and students in these topics and to establish strong research collaborations with colleagues, students and researchers. Leading experts in NCG will give an overview of the main well-established results, the essential tools, and some of the present active research activities: Connes-Chern Character Theorem, NC integration theory (Dixmier traces, singular traces…), unbounded KK-theory and Kasparov product, dynamical systems and KMS states, quantum groups, fuzzy spaces, NC standard model of Particle Physics, application to the QHE…

Our principal target would be young mathematicians. Lectures will be adapted for the participants’ backgrounds, starting from basic knowledge and general concepts in Mathematics and Physics of Master degree level. The working language is English.