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New developments and challenges in 
Stochastic Partial Differential Equations

I collect here the notes for some of the courses at the Bernoulli Center Program on SPDEs held in summer 2024.

From June 10th to August 16th 2024, together with I. Chevyrev, F. Flandoli and Z. Brzezniak, we organized a research period at the Bernoulli Center of the EPFL in Lausanne. The web page of the program is here.

During the period we ran three workshops, I was present only at the second workshop and I took notes of the four minicourses:

A word of warning: the notes were taken directly in TeXmacs during the seminar and I haven't attempted any later redaction. The content reflects my understanding of the lectures at the moment it was delivered. Only very minimal cosmetic changes were applied to conform to the style of the web site. Do not use them as reference material.