2023 CMI-HIMR Summer School on Probabilistic Group Theory

19 – 23 June 2023

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.

Organisers: Tim Burness (Bristol) and Robert Guralnick (Southern California)

In recent years, probabilistic methods have been at the heart of many spectacular advances in group theory and related areas, finding a diverse range of applications. This summer school will introduce a wide audience of graduate students and early career researchers to some of the most exciting recent developments. The programme will feature four short courses from world-leading experts in the area, together with tutored problem sessions for participants. More information on the summer school website

Download the programme

Download the problem sessions exercises

Download Martin Liebeck’s Slides: Lecture 1 slides (55 pages), Lecture 2 slides (85 pages), Lecture 3 slides (80 pages)

Short Course Lecturers

Tim Burness (Bristol): Character bounds for simple groups and applications
Martin Liebeck (Imperial College): Generation Properties of Finite and Algebraic Simple Groups
Cheryl Praeger (Western Australia): Probabilistic Group Theory from an Algorithmic Perspective

Guest Lecturers:

Henry Bradford (Cambridge)
Emmanuel Breuillard (Oxford)
Ben Green (Oxford)
Scott Harper (St Andrews)
Veronica Kelsey (Manchester)
Colva Roney-Dougal (St Andrews)
Gareth Tracey (Warwick)

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