The CDT in Mathematics of Random Systems is organising a conference at the International Centre for Mathematical Sciences in Edinburgh featuring talks from our students and faculty. As part of the event Professor Des Higham (University of Edinburgh) will give a public talk on Deep Learning: What Could Go Wrong?
18:30
Oxford Mathematics London Public Lecture: The Magic of the Primes - James Maynard with Hannah Fry SOLD OUT
Please note this lecture is at the Science Museum, London, SW7.
In July 2022 Oxford Mathematician James Maynard received the Fields Medal, the highest honour for a mathematician under the age of 40, for his groundbreaking work on prime numbers. In this lecture he will explain the fascinations and frustrations of the primes before sitting down with Hannah to discuss his work and his life.
Please email @email to register.
The Oxford Mathematics Public Lectures are generously supported by XTX Markets.
On the asymptotic analysis of the Calogero-Painlevé systems and the Tracy-Widom$_\beta$ distribution for $\beta$=6
Abstract
The Calogero-Painlevé systems were introduced in 2001 by K. Takasaki as a natural generalization of the classical Painlevé equations to the case of the several Painlevé “particles” coupled via the Calogero type interactions. In 2014, I. Rumanov discovered a remarkable fact that a particular case of the Calogero– Painlevé II equation describes the Tracy-Widom distribution function for the general $\beta$-ensembles with the even values of parameter $\beta$. in 2017 work of M. Bertola, M. Cafasso , and V. Rubtsov, it was proven that all Calogero-Painlevé systems are Lax integrable, and hence their solutions admit a Riemann-Hilbert representation. This important observation has opened the door to rigorous asymptotic analysis of the Calogero-Painlevé equations which in turn yields the possibility of rigorous evaluation of the asymptotic behavior of the Tracy-Widom distributions for the values of $\beta$ beyond the classical $\beta =1, 2, 4$. In the talk these recent developments will be outlined with a special focus on the Calogero-Painlevé system corresponding to $\beta = 6$. This is a joint work with Andrei Prokhorov.
The LMS will be running two workshops on mathematics communication: a Beginners session and an Advanced session. Mathematicians and maths communicators Ben Sparks and Katie Steckles will lead these interactive training sessions, covering the skills and techniques required to communicate maths effectively. They will also share their expertise in delivering interactive and engaging sessions.
The MPLS Mental Health Awareness Week programme of activities is now open for registrations. We’re delighted to offer another week of events, workshops and activities for anyone across the University who wants to get involved.