15 – 19 July 2024

Hosted by: School of Mathematics, Fry Building, University of Bristol, UK

Jointly funded by the Clay Mathematics Institute and the Heilbronn Institute for Mathematical Research.

This year the summer school will focus on the mathematics of symmetry and randomness, where probability theory comes together with analysis, geometry and group theory to help understand highly symmetric structures. The mini-courses will present aspects of random walks on infinite graphs and groups in connection with geometric group theory; the mathematics of percolation theory especially on large transitive graphs; as well as spectral and mixing time estimates for finite Markov chains with an emphasis on the cut-off phenomenon, and much more. Students will have the opportunity to be introduced to these topics as well as to hear lectures by leading figures in the area.

Registration is now closed.


Organisers: 

Emmanuel Breuillard (Oxford)
Matthew Tointon (Bristol)

Short Course Lecturers:

Tom Hutchcroft (Caltech)
*Structure vs. expansion: probability on transitive graphs

Justin Salez (Paris-Dauphine)
*The cutoff phenomenon for finite Markov chains

Tianyi Zheng (UC San Diego)
*Random walks on self-similar groups: boundary behaviour and amenability

Guest Speakers:

Persi Diaconis (Stanford)
Geoffrey Grimmett (Cambridge)
Tatiana Nagnibeda (Genève)

*Provisional title

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For more information please email the Heilbronn events team at  heilbronn-coordinator@bristol.ac.uk

Information on past summer schools is available here

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