## Alice Guionnet (CNRS, ENS Lyon)

Stay: March 2019. During her stay she will give a series of lectures within her Aisenstadt Chair 2019.

Photo: Ivonne Vetter

## Wednesday, March 20, 2019

4:15 pm

### Centre de recherches mathématiques

Pavillon Claire-McNicoll, Université de Montréal

Salle Z-220

"Free probability and Random matrices"

Free probability is the natural framework to consider matrices with size going to infinity. Since this key remark was made by Voiculescu in the nineties, these two fields have enriched each other continuously. We will discuss a few of these fruitful crossovers. This talk will only require a general mathematical background.

A reception will follow the lecture at the Salon Maurice-L'Abbé, Pavillon André-Aisenstadt (room 6245).

## Friday, March 22, 2019

10:30 am

### Centre de recherches mathématiques

Pavillon André-Aisenstadt, Université de Montréal

Salle 1360

"Free probability and random matrices: Conjugate variables and the Dyson-Schwinger equations"

In this talk I will discuss some uses of integration by parts in free probability, random matrices and related topics. In particular I will show how it can be used to study the large dimension asymptotics in random matrices and tilings.

Coffee and croissants will be served between 10:00 and 10:30 am at the Salon Maurice-L'Abbé.

*****## Monday, March 25, 2019

9:30 am

### Centre de recherches mathématiques

Pavillon André-Aisenstadt, Université de Montréal

Room 5340

"Free probability and random matrices: large deviations and entropy"

I will discuss large deviations theory in random matrix theory, including some open questions.

Coffee and croissants will be served between 9:00 and 9:30 am at the Salon Maurice-L'Abbé.

Alice Guionnet is a recognized world leader in probability, particularly well-known for her fundamental work in random matrix theory and free probability. Her many scientific contributions include four books and around 80 research articles. Guionnet's many accolades include the Rollo Davidson Prize (2003), the Loève Prize (2009), the CNRS Médaille d'argent (2010), Chevalière de la Légion d'honneur (2012), and the European Academy of Sciences' Blaise Pascal Medal (2018). She was an ICM invited speaker in 2006, and was a member of the prize selection committee for the 2018 Fields medals. She was elected in 2017 at the French Academy of Sciences. Her previous contributions to the CRM community include serving on the CRM scientific international committee (2007-2011), on the CRM scientific committee for the 2008–2009 thematic year on probabilistic methods in mathematical physics, and delivering a month-long graduate course on random matrices, free probability and the enumeration of maps at the 2015 CRM–PIMS summer school in probability.