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Operad theory for singular SPDEs

Recent Trends in Stochastic Partial Differential Equations November 17, 2025 - November 21, 2025

November 21, 2025 (11:00 AM PST - 12:00 PM PST)
Speaker(s): Yvain Bruned (Université de Lorraine)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Operad theory for singular SPDEs

Abstract

In this talk, we will review some recent applications of operad theory to singular SPDEs.

It is an essential tool for characterising the chain rule symmetry in the full subcritical regime which

leads to renormalising quasilinear SPDEs with local counterterms. Also, it provides negative results

about the existence of another combinatorial set lying between multi-indices and decorated trees for

encoding expansions of solutions of singular SPDEs.

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Operad theory for singular SPDEs

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