$\vec{w}h\alpha\mathfrak{t}\;\; i\mathbb{S} \ldots$

a regularity structure?

Tom Klose (TU Berlin)
2019/06/14, 14:00
TU Berlin, at the room MA 315 (math building, third floor, BMS side)
Next to the originally planned location, MA 313
About what?

Commonly, the regularity of a function describes how well it is approximated by polynomials. This understanding breaks down when we consider solutions to PDEs perturbed by a highly irregular stochastic object called white noise: Polynomials are simply too crude to be the right approximating quantity in this case, but what is?

To answer this question, I will introduce the notion of a regularity structure pioneered by Martin Hairer. We will see that it is a far-reaching generalisation of Taylor series that is robust enough to set up a solution theory for afore-mentioned (stochastic) PDEs.