Workshop on scaling limits: from statistical mechanics to manifolds

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This is an application for partial funding for a 3-day workshop in probability entitled ''Scaling limits: from statistical mechanics to manifolds'', to take place in Cambridge 7th-9th September 2020. The workshop is loosely timed to coincide with the 60th birthday of James Norris, who is professor of stochastic analysis at the University of Cambridge and one of the UK's most senior probabilists. The goal of the workshop is not to simply look back at his career, but instead take his work as a jumping-off point for an exploration of future research directions in probability. The meeting will benefit UK mathematics and reinforce the UK's position as a leading centre for probability research by providing an opportunity to learn about the latest developments and identify future directions. There is a particular emphasis on the representation of female academics -- 3 out of 4 organisers are female and 5 out of 16 speakers are female. The meeting will be centred around five themes that all display beautifully the interplay between probability and analysis. We have invited experts working on 1) random growth processes and SPDEs, 2) Yang-Mills measure, 3) limits of random graphs, random planar maps and fragmentation processes, 4) Markov chains, interacting particle systems and fluid limits and 5) diffusion processes and heat kernels. Many of these areas have arisen out of a need for sophisticated models involving random mathematical structures which go well beyond the classical topics of real-valued random variables and processes. This workshop will play a role in keeping the UK at the forefront of new developments.