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(14:00-15:00 UTC) Speaker: Lorenzo Zambotti (Sorbonne Université)
Title: Some stochastic PDEs for the future
Abstract: We want to discuss some stochastic PDEs with distributional non-linearities, driven by space-time white noise. These equations are motivated for example by the scaling limits of critical pinning models. The well-posedness of such stochastic PDEs is still an open problem, despite the recent spectacular progresses in the field obtained by means of regularity structures and paracontrolled calculus, the lack of a viable stochastic calculus for SPDEs being a persistent major obstacle. A recent result by Athreya-Butkovsky-Le-Mytnik gives new hope to solve this long-standing problem.
(15:00-16:00 UTC) Francesco Caravenna (University of Milano-Bicocca)
Title: Hairer's Reconstruction Theorem without Regularity Structures
Abstract: We give a new self-contained and elementary proof of Martin Hairer's Reconstruction Theorem, which is one of the cornerstones of his theory of Regularity Structures. We present it as a general result in the theory of distributions that can be understood without any knowledge of Regularity Structures themselves, which we do not even need to define. We will also discuss some applications of independent interest. (Based on joint work
https://arxiv.org/abs/2005.09287 with Lorenzo Zambotti).
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We hope to see you all tomorrow!
One World Probability Team