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SUMMARY:Ilya Chevyrev (University of Edinburgh\, UK)
DTSTART:20241021T150000Z
DTEND:20241021T160000Z
DTSTAMP:20260423T052501Z
UID:ENAAS/94
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/94/">P
 re-Lie algebras in stochastic PDEs</a>\nby Ilya Chevyrev (University of Ed
 inburgh\, UK) as part of European Non-Associative Algebra Seminar\n\n\nAbs
 tract\nIn this talk\, I will discuss a general method to renormalise singu
 lar stochastic partial differential equations (SPDEs) using the theory of 
 regularity structures. It turns out that\, to derive the renormalised equa
 tion\, one can employ a convenient multi-pre-Lie algebra. The pre-Lie prod
 ucts in this algebra are reminiscent of the pre-Lie product on the Grossma
 n-Larson algebra of trees\, but come with several important twists. For th
 e renormalisation of SPDEs\, the important feature of this multi-pre-Lie a
 lgebra is that it is free in a certain sense. Based on joint work with Yva
 in Bruned\, Ajay Chandra\, and Martin Hairer.\n
LOCATION:https://researchseminars.org/talk/ENAAS/94/
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