Conférences  >  Mathématiques  >  Cours et évènements pour étudiants en mathématiques  >  Canada

This two week school will focus on spectral theory of periodic, almost-periodic, and random operators. The study of periodic problems is one of the most classical subjects of spectral theory. Many of the basic properties of periodic operators are now well understood due to the powerful method known as the Floquet-Bloch decomposition which performs a partial diagonalisation of the operator. Another type of problems mathematicians and physicists have been interested in is known under the broad name of ergodic problems; the most prominent among them being almost-periodic and random problems. These problems are much more complicated because no straightforward partial diagonalisation is known for them. The study of the spectral properties for ergodic problems developed to a large extent independently of the periodic theory, although occasionally periodic results were used in almost-periodic or even random settings. The interplay between almost-periodic and random problems has been more significant, but still, most of the methods have been specific to each of these two types. In the last few years however there emerged a number of methods which originated in one type of these problems but were successfully used to tackle problems from neighbouring areas (periodic methods used to deal with almost-periodic or random problems, etc). This suggests that these three lines of research have more in common than previously believed. The main aim of this school is to teach the students who work in one of these areas methods used in parallel problems, explain the similarities between all these areas and show them the ‘big picture’.

Centre de recherches mathématiques (CRM)

The mini-courses and research talks will address several themes, including: nonpositively-curved cube complexes, median spaces, (coarsely) Helly spaces and groups, and various combinatorial notions of nonpositive curvature. The first week of the workshop involves mini-courses by Elia Fioravanti (MPI Bonn), Thomas Haettel (Université de Montpellier), Nima Hoda (ENS Paris), Nir Lazarovich (Technion). The second week will be devoted to research talks.

Théorie des graphes et combinatoire,    Géométrie et topologie

Centre de recherches mathématiques (CRM)

Robert Langlands est un des mathématiciens contemporains les plus influents. Il est surtout connu pour un ensemble de conjectures très profondes dont l'étude porte maintenant le nom de «programme de Langlands». Tout au long de sa carrière, de nombreux prix ont été décernés au professeur Langlands. En particulier, ses travaux lui ont valu de recevoir le prix Wolf en 1996 et le prix Abel en 2018. Au-delà des mathématiques, le professeur Langlands s'intéresse à l'apprentissage des langues et à la poursuite de la recherche mathématique dans ces langues. En plus de l'anglais, il parle couramment le français, le turc et l'allemand. En 2019 il a créé un Fonds de dotation au CRM dont le but est de soutenir les activités scientifiques de recherche et de formation en français.  Trois mini-cours s’adressant aux étudiants de premier cycle sont présentés à l’édition 2023 de cette école d’été francophone. Ils sont appuyés par le Fonds de dotation Langlands.

Analyse,    Statistique, Théorie des jeux

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Statistique, Théorie des jeux,    Physique mathématique

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Théorie des graphes et combinatoire,    Algèbre

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Statistique, Théorie des jeux,    Réseaux de neurones et intelligence artificielle, apprentissage automatique

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Algèbre,    Analyse

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Théorie des graphes et combinatoire,    Biologie moléculaire

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Algèbre,    Géométrie et topologie

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Mécanique quantique et l'information quantique,    Calcul infinitésimal, équations différentielles et intégrales

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

The summer school will bring together advanced undergraduate and early master students in mathematics, life sciences, physics, computer sciences, and chemistry enrolled in Canadian universities.The main objectives of the summer school are to expose them to cutting-edge research at the interface of scientific domains,to open their minds to interdisciplinary research, and to excite them to pursue their studies in these fields.This summer school is founded on the belief that fundamental progress in science can be achieved by combining knowledge, concepts, tools, and methods from diverse scientific disciplines.

Cours et événements pour étudiants en physique,    Cours et événements pour étudiants en chimie

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Calcul scientifique et science des données,    Réseaux complexes

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Centre de recherches mathématiques, Université de Montréal

This school intends to present various developments in Riemannian and Kähler geometry around the notion of curvature seen as a tool to describe and understand the geometry of the objects. Each week of the session will have a different flavor, but similar problems and methods will be emphasized, and we expect this will lead to fruitful interactions. Our main target audience is young mathematicians, particularly graduate students and early-career researchers. We expect the school to give them the opportunity to learn key ideas and techniques of the field, with an emphasis on solidifying foundations in view of potential future research. Consequently, junior women mathematicians and those from under-represented minority groups will be given priority for financial assistance. We aim for 100 participants including at least 60 young researchers (PhD students, postdoc fellows). Moreover, the school will also feature problem sessions provided by lecturers and selected talks by young researchers.

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Mathématiques appliquées (en général),    Physique de la matière condensée et des matériaux

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Géométrie et topologie,    Mathématiques numériques

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Mathématiques appliquées (en général),    Physique de la matière condensée et des matériaux

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Calcul scientifique et science des données,    Histoire et philosophie de la science

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Géométrie et topologie,    Théorie des graphes et combinatoire

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Thermodynamique, dynamique des fluides et physique statistique,    Théorie de l'information, fondations de l'informatique

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Réseaux, Internet,    Réseaux complexes

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Théorie des graphes et combinatoire,    Géométrie et topologie

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Statistique, Théorie des jeux,    Géométrie et topologie

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Biologie des systèmes,    Épidémiologie

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Algèbre,    Théorie des groupes

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Géométrie et topologie,    Biologie des systèmes

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Réseaux de neurones et intelligence artificielle, apprentissage automatique,    Agents logiciels et intelligence artificielle

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Calcul scientifique et science des données,    Calcul infinitésimal, équations différentielles et intégrales

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Algèbre,    Théorie des groupes

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Astronomie, astrophysique et cosmologie,    Réseaux de neurones et intelligence artificielle, apprentissage automatique

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery