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Summer Graduate School

2025 PIMS-CRM Summer School in Probability (Vancouver, Canada) June 02, 2025 - June 27, 2025
Parent Program: --
Location: Pacific Institute for Mathematical Sciences (PIMS), Vancouver, Canada
Organizers Louigi Addario-Berry (McGill University), Omer Angel (University of British Columbia), Mathav Murugan (University of British Columbia), Gordon Slade (University of British Columbia)
Lecturer(s)

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Speaker(s)

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Description

The Summer Schools in Probability are a highlight of Canadian probability and are internationally significant.  Launched by PIMS in 2004, the school takes the form of two main 4-week courses along with three mini-courses. The schools have played a major role in the development of an exceptionally strong community of young probabilist in Canada, North America and overseas. This will be the 13th time this school has run.

The two long courses (24 hours each) are:

  • Tom Hutchcroft (Caltech), Topics in Percolation
  • Matav Murugan (UBC), Heat Kernel Estimates, Harnack Inequalities, and Quasisymmetry

The three minicourses (3 hours each) are:

  • Nathanael Berestycki (U. Vienna), Spectral Geometry of Liouville Quantum Gravity
  • Nina Holden (NYU), Random Surfaces
  • Tianyi Zheng (UC San Diego), Poisson Boundary of Random Walks and Growth of Groups

School Structure

There will be two long courses (24 lecture hours each), three minicourses (3 lecture hours each), and 15 hours reserved for short presentations by participants.  The participant presentations are an important component of the school.  They promote interaction amoung participants and provide a panorama of current research in probability. No talks are scheduled on Wednesdays.  Instead, optional excursions are arranged by the organizers. 

Prerequisites

A first year-long graduate course in measure-theoretic probability, roughly covering the material of Billingsley's Probability and Measure. Some familiarity with percolation or other statistical mechanical models would be useful but is not required.

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 the Pacific Institute for Mathematical Sciences (PIMS) on the campus of the University of British Columbia in Vancouver, Canada. Participants will be housed in shared accommodation within the Gage residences at UBC, in six-bedroom suites with shared facilities including kitchen. The interactions between students facilitated by this accommodation style provides important networking opportunities. 

Keywords and Mathematics Subject Classification (MSC)
Tags/Keywords
  • percolation

  • phase transition

  • critical phenomena

  • critical exponents

  • mean-field theory

  • heat kernel

  • Harnack inequality

  • symmetric Markov process

  • Dirichlet form

  • harmonic measure

  • Liouville Brownian motion

  • Liouville quantum gravity and conformal field theory

  • Gaussian free field

  • Selberg trace formula

  • heat kernel asymptotics

  • Weyl law

  • Liouville Quantum Gravity

  • random planar maps

  • gaussian multiplicative chaos

  • Schramm-Loewner evolution

  • Liouville conformal field theory

  • Poisson boundary

  • speed

  • entropy

  • random walk on group

  • growth rate of groups

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC