Summer Graduate School
| Parent Program: | -- |
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| Location: | Centre de recherches mathématiques, Montréal |
The PIMS–CRM Summer Schools in Probability are a highlight of Canadian probability. Launched by PIMS in 2004, they take the form of two main courses by top researchers in probability theory and related fields, along with a number of keynote addresses and shorter mini-courses. The school is geared primarily at doctoral students and postdoctoral scholars, who are also given the opportunity to present their own research, should they desire. The schools have played a major role in the development of an exceptionally strong community of young probabilists in Canada, North America and overseas. This will be the 14th time this school has run.
The 2027 main courses (24 hours each) are:
Roland Bauerschmidt (Courant): Probabilistic methods in quantum field theory
Nina Gantert (T.U.Munich): Branching random walks and related topics
School Structure
There will be two long courses, three minicourses, and time reserved for short presentations by participants. The participant presentations are an important component of the school. They promote interaction among participants and provide a panorama of current research in probability. For many participants, it will be their first time presenting their work to and fielding questions from a large audience; as such it is a valuable training experience. No talks are scheduled for Wednesdays. Instead, excursions are arranged by the organisers.
Prerequisites
The schools are primarily aimed at graduate students and postdocs doing research in probability theory. A formal introduction to probability based on measure theory would be needed.
Prerequisites for Prof. Bauerschmidt course: a first graduate level course on probability theory, covering roughly Durrett’s textbook 'Probability: Theory and Examples' or Varadhan's textbook 'Probability Theory'.
Prerequisites for Prof. Gantert course:
- Zhan Shi, Branching random walks. Lecture Notes in Math., 2151
- Ofer Zeitouni, Branching Random Walks and Gaussian Fields. Available at https://www.wisdom.weizmann.ac.il/~zeitouni/pdf/notesBRW.pdf
- Julien Berestycki, Topics in Branching Brownian Motion. Lecture notes in progress, available at https://www.stats.ox.ac.uk/~berestyc/Articles/EBP18_v2.pdf
Application Procedure
SLMath is only able to support a limited number of students to attend this school. Therefore, it is likely that only one student per institution will be funded by SLMath.
For eligibility and how to apply, see the Summer Graduate Schools homepage.
Venue
The summer school will take place at Centre de recherches mathématiques (CRM), Montréal, Canada. The housing of the participants in shared, apartment-style accommodation (6-bedroom) gives students multiple shared common areas, making it easy for participants to coordinate their own group-work and study sessions.
phase transitions
quantum field theory
free field
branching random walk
branching random walk in random environment
Interacting Particle Systems
Φ4 model
82B28 - Renormalization group methods in equilibrium statistical mechanics [See also 81T17]
82C22 - Interacting particle systems in time-dependent statistical mechanics [See also 60K35]