Workshop on scaling limits: from statistical mechanics to manifolds

这是一个为期3天的概率研讨会的部分资金申请，题为“比例极限：从统计力学到流形”，将于2020年9月7日至9日在剑桥举行。研讨会的时间安排在剑桥大学随机分析教授、英国最资深的概率学家之一詹姆斯·诺里斯60岁生日之际举行。研讨会的目的不是简单地回顾他的职业生涯，而是以他的工作为起点，探索未来概率研究的方向。这次会议将使英国数学受益，并通过提供一个机会来了解最新发展和确定未来方向，从而巩固英国作为领先概率研究中心的地位。特别强调女性学者的代表性--4名组织者中有3名是女性，16名发言者中有5名是女性。会议将围绕五个主题展开，它们都很好地展示了概率与分析之间的相互作用。我们邀请了从事1)随机增长过程和SPDEs，2)Yang-Mills测度，3)随机图，随机平面映射和碎裂过程的极限，4)马尔可夫链，相互作用的粒子系统和流体极限，以及5)扩散过程和热核的专家。这些领域中的许多都源于对涉及随机数学结构的复杂模型的需求，这些模型远远超出了实值随机变量和过程的经典主题。这一研讨会将发挥作用，使英国保持在新发展的前沿。

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.