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

Next to the originally planned location, MA 313

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.