Random Models on Regularity-Integrability Structures

Explore an advanced lecture on singular stochastic partial differential equations (SPDEs) and the BPHZ theorem. Delve into a novel approach for proving probabilistic convergence results using regularity-integrability structures. Learn about the extension of regularity structures to include integrability exponents, offering a simpler proof of the BPHZ theorem. Examine how this method compares to previous approaches, such as the Feynman diagram technique and the multiindex language. Gain insights into the collaborative work between Masato Hoshino from Osaka University and Ismael Bailleul from Université de Bretagne Occidentale, pushing the boundaries of our understanding in this complex field of mathematics.