Introduction into regularity structures

I will give an introduction into the notions and tools of regularity structures, which were developed to renormalize the nonlinearity in partial differential equations driven by white noise. I will discuss these tools when applied to (a proxy for) the dynamical Phi-4-3 model. This model amounts to an Allen Cahn equation driven by space-time white noise for analysts, or to the stochastic quantization in quantum field theory for math physicists.

References
I will follow Hairer’s lecture notes “Regularity structures and the dynamical Phi-4-3 model”, and expand on my mini-course given at the Newton institute.

Date and time info
09:15 - 11:00, Wednesday, only at 24.10., 07.11., 5.12., 19.12., 16.01., 30.01.

Audience
MSc students, PhD students, Postdocs

Language
English