Workshop: Rough paths and related topics Tuesday, November 10, 2026 Milano, Room MM, Via Mangiagalli 37. Schedule: 14h-15h Lorenzo Zambotti (University of Sorbonne), Product of differential forms with distributional coefficients 15h-16h Gianmario Tessitore ( University of Milano Bicocca ), Sewing and Regularity gains for convolution integrals (joint work with Davide Addona and Luca Lorenzi). Lorenzo Zambotti Abstract: We discuss how Hairer’s reconstruction theorem allows to define a canonical product of differential forms with distributional coefficients, in a regularity regime which would be inaccessible for standard distributions. Gianmario Tessitore Abstract: We study convolution integrals driven by Hölder and rough signals in the presence of a smoothing semigroup. A semigroup-adapted sewing procedure allows us to quantify their gain in spatial regularity. We then extend the construction to singular integrands, which may blow up near the initial time, by means of weighted Hölder estimates. The resulting bounds are applied to mild Young equations with irregular initial data. We conclude with perspectives involving stochastic sewing and rough factorisation arguments. The workshop is organized by Francesco De Vecchi (Università di Pavia), Frédéric Patras (CNRS-Université Cote d’Azur) e Stefania Ugolini (Università di Milano) as the third scientific event of the Intensive Research Trimester titled: "Algebraic & Geometric Structures in Stochastic Calculus" of the Center for Training and Research, in the framework of the Excellence Project 2023-2027 of the Department of Mathematics " “F. Enriques”, Milano. https://agssc.unimi.it/
participants (1)
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Stefania Ugolini