July 9 – 20, 2018 » Montréal Summer Workshop on Challenges in Probability and Mathematical Physics

Organizers: Alexander Fribergh (Montréal) , Louigi Addario-Berry (McGill), Omer Angel (British Columbia)

This event is similar to a short thematic semester. There will be a light schedule of talks, leaving a lot of free time to encourage collaborations between participants and promote discussions between members of different subfields in probability theory.

The central topic of the workshop will be random media, with an emphasis on the following themes: spin glasses, percolation problems in two dimensions, branching Brownian motions and log-correlated fields, Liouville quantum gravity, random walks in random environments and random graphs.

Each lecture day will be focused on one particular theme; speakers will be asked to focus their talks on open problems and tools that need to be developed in order to encourage collaborations between participants.

The workshop, a satellite activity of the XIX International Congress on Mathematical Physics that will be held in Montréal on July 23-28,  is jointly supported by the Centre de recherches mathématiques and by the Pacific Institute for the Mathematical Sciences.

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

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

Joint CRM-Princeton Workshop: Critical Phenomena
Dates to be confirmed (first or second week of October 2018)
This workshop will be held at the Princeton Center for Theoretical Science.

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

September 10 – 28, 2018 » Faces of Integrability

Organizers: Jacques Hurtubise (McGill), Nicolai Reshetikhin (Berkeley), Lauren K. Williams (Berkeley)

The theory of integrable systems, with its origins in symmetries, has intricate ties to a wide variety of areas of mathematics. Sometimes the ties are straightforward, but in many cases, the links are more complicated, and indeed somewhat difficult to make explicit.  Some of these interfaces, between integrability, geometry, representation theory, and probability theory will be dominating subjects during the conference and satellite activities.  Themes to be covered include the role of cluster algebras and cluster varieties in the description of moduli spaces, the links between integrable systems and representation theory appearing in such areas as quantum groups and quantization of moduli spaces, and the fascinating interfaces of probability theory, combinatorics and integrable systems appearing in several processes linked to statistical mechanical models.

During the first week of activities, introductory lectures for graduate students will take place, as well as research seminars and discussions. The conference will take place during the second week. During the third week, research discussions and seminars will continue together with follow-up lectures for graduate students.

September 17 – October 14, 2018 » Algebra, Combinatorics, and Mathematical Computer Science

Organizers: François Bergeron (UQAM), Srečko Brlek (UQAM), Christophe Hohlweg (UQAM)

On the occasion of CRM’s 50th anniversary in 2018, the Laboratoire de Combinatoire et d’Informatique Mathématique (LaCIM) organizes a month of scientific activities to discuss the state-of-the-art and manifold interconnections between the lively topics that have long been at the core of research at LaCIM: algebraic combinatorics, combinatorial representation theory, Coxeter groups theory, combinatorics of words, discrete geometry, enumerative combinatorics, mathematical computer science and their applications.  The scientific activities will be articulated around the confirmed participations of two renowned researchers-in-residence:  Mireille Bousquet-Mélou, Directrice de Recherche and Silver Medal of CNRS, and of Ezra Miller, Professor at Duke University; together with a week-long international conference to be held from the 24th to the 28th of September 2018.

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.