September – December 2018 » Thematic Semester on Mathematical Challenges in Many-Body Physics and Quantum Information

International Scientific Advisory Committee: Joseph Avron (Technion), Svetlana Jitomirskaya (UC Irvine), Mathieu Lewin (Paris-Dauphine), Bruno Nachtergaele (UC Davis), Claude-Alain Pillet (Toulon), Robert Seiringer (IST Austria), Armen Shirikyan (Cergy-Pontoise), Barry Simon (Caltech)

Local Organizing Committee: Jacques Hurtubise (McGill), Dmitry Jakobson (McGill), Vojkan Jakšić (McGill), Dmitry Korotkin (Concordia), Luc Vinet (Montréal)

The opening events of the thematic program are the XIX International Congress on Mathematical Physics and the accompanying satellite meetings. They will be followed by five workshops held at the CRM and a joint CRM-Princeton workshop held at Princeton. Long-term participants will give daily seminars and mini-courses between the workshops.

AISENSTADT CHAIRS

Svetlana Jitomirskaya (UC Irvine)
Her lectures will be a part of the workshop on Spectral Theory of Quasi-Periodic and Random Operators.

Robert Seiringer (IST Austria)
His lectures will be a part of the workshop on Many-Body Quantum Mechanics.

WORKSHOPS

Many-Body Quantum Mechanics
September 10–14, 2018

Entanglement, Integrability and Topology in Many-Body Systems
September 17–21, 2018

CRM-PCTS Workshop on Critical Phenomena in Statistical Mechanics and Quantum Field Theory
October 3-5, 2018

 

Quantum Information and Quantum Statistical Mechanics
October 15–19, 2018

School on Mathematics of Non-equilibrium Statistical Mechanics, on the occasion of the sixtieth birthday of Claude-Alain Pillet
October 24-26, 2018

Entropic Fluctuation Relations in Mathematics and Physics
October 29–November 2, 2018

Spectral Theory of Quasi-Periodic and Random Operators
November 13–16, 2018

For more information

March 1 – 31, 2019 » New Developments in Free Probability and Applications

Organizers: Benoît Collins (Kyoto), James Mingo (Queen’s), Roland Speicher (Saarland), Dan-Virgil Voiculescu (Berkeley)

The thematic one-month program “New Developments in Free Probability and Applications,” to be held at the CRM in March 2019, will highlight the depth and beauty of Free Probability theory as well as the various connections with other fields.

In the spring of 1991, Dan Voiculescu was the holder of the Aisenstadt chair at the CRM. At this time, free probability was still in its infancy and only known to a small group of enthusiasts. This was going to change. Voiculescu gave the Aisenstadt Lectures on free probability in Montréal, organizing the material and bringing it with the help of his students Ken Dykema and Alexandru Nica into a publishable form. The resulting book was the first volume in the CRM Monograph Series. On the timely occasion of the 50th anniversary of the CRM, our thematic program will take place where the seed was sown, with Dan Voiculescu as one of the scholars-in-residence.

The program activities will be anchored by two one-week workshops. In the other two weeks, we expect to organize a special program aimed at bringing graduate students and postdoctoral fellows quickly to the frontiers of the subject.

The first workshop will be inclined more to the pure side of free probability, in particular: operator algebras and random matrix theory, and the second workshop will put its emphasis on applications, for example quantum information theory and  mathematical physics.

We will focus our attention on recent developments of the field, which include—but are not limited to: traffic freeness, bi-free probability, analysis of free entropy, (free) quantum groups, functional inequalities in free probability, new applications to random matrix theory and quantum information theory, advances in free Malliavin calculus and regularity questions of distributions.