Packing the largest trees in the tree packing conjecture
Janzer, B Montgomery, R Journal of the European Mathematical Society (15 May 2026)
Sums of three positive cubes
Maynard, J Journal of the London Mathematical Society volume 113 issue 5 (05 May 2026)
Lattice models for phases and transitions with non-invertible symmetries
Bhardwaj, L Bottini, L Schäfer-Nameki, S Tiwari, A SciPost Physics volume 20 issue 5 (13 May 2026)
The Mechanical Virtue of Random Fourier Features and Model Complexity
Cartea, Á Shi, Y (2025)
Tue, 09 Jun 2026

14:00 - 15:00
L5

Permutations with an invariant set of size k

Ben Green
((Mathematical Institute University of Oxford))
Abstract

Denote by p(k) the limit, as n tends to infinity, of the probability that a random permutation on n letters has some invariant set of size k. For example, p(1) = 1 - 1/e. I will discuss the asymptotic behaviour of p(k). Joint work with Mehtaab Sawhney.

On a Clique‐Building Game of Erdős
Malekshahian, A Spiro, S Journal of Graph Theory (14 May 2026)
Mon, 18 May 2026

15:30 - 16:30
L3

Rough Stochastic Differential Equations (RSDEs) and Applications

Prof. Peter Friz
(Technical University of Berlin)
Abstract

Recent advances at the interface of stochastic analysis, rough path theory, stochastic filtering, stochastic control, and mean-field systems have led to a rapidly developing framework for analyzing stochastic dynamics conditioned on common/observation noice. This talk will survey how rough stochastic differential equations, introduced in 2021 by A. Hocquet, K. Lê and the speaker, lead to a unifying perspective across several areas of applied probability.

(Additional coauthors include F. Bugini, J. Dause, W. Stannat, H. Zhang and P.Zorin-Kranich.)

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