Francesco Caravenna: Hairer's Reconstruction Theorem without Regularity Structures

We give a new self-contained and elementary proof of Martin Hairer's Reconstruction Theorem, which is one of the cornerstones of his theory of Regularity Structures. We present it as a general result in the theory of distributions that can be understood without any knowledge of Regularity Structures themselves, which we do not even need to define. We will also discuss some applications of independent interest.

Based on joint work with Lorenzo Zambotti.