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(14:00-15:00 UTC) Speaker: Bálint Virág (Toronto)
Title: Introduction to random plane geometry
Abstract: If lengths 1 and 2 are assigned randomly to each edge in Z^2, what are the fluctuations of distances between far away points?
This problem is open, yet we know, in great detail, what to expect.
The directed landscape, a universal random plane geometry, provides the answer to such questions.
What is the directed landscape? What does it teach us about longest increasing subsequences in random permutations, about random polymers, about models for spread of infection, about tetris, about random Schrodinger operators, and about cell biology?
(15:00-16:00 UTC) Speaker: Duncan Dauvergne (Princeton)
Title: Building the directed landscape
Abstract: The directed landscape is a random 'directed metric' on the plane that arises as the full scaling limit of last passage percolation. It was recently constructed by myself, Janosch Ortmann and Bálint Virág, and it is expected to be a universal limit for models in the KPZ universality class (e.g. random polymers, the KPZ equation, first passage percolation). In this talk I will explain some of the new ideas that underlie this construction. The key innovation is showing that a certain isometric property of the Robinson-Schensted-Knuth bijection passes to the limit.
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Meeting-ID: 880 6623 9585
Passcode: 635181
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We hope to see you all tomorrow!
One World Probability Team