April 7, 2017

Location: Janskerkhof 15a (Utrecht), room 202 (morning) and 101 (afternoon)

11:15–13:00
Antti Kupiainen (Helsinki) homepage

Renormalization Group and stochastic PDE’s II: Renormalization Group aproach to Rough SPDE’s

program

I will discuss the Gaussian Free Field and its decomposition to scales. Then I introduce the hierarchical GFF as an approximation to GFF and give a complete proof of the existence of the continuum limit of the φ43 hierarchical Quantum Field Theory.

This lecture does not assume knowledge of the content of the March 2 lecture.

14:30–16:15
Antti Kupiainen (Helsinki) homepage

Renormalization Group and stochastic PDE’s III: Renormalization Group aproach to Rough SPDE’s

location

I introduce hierarchical rough SPDE’s and prove their almost sure local well posedness. I discuss global solutions and how the proof extends to the standard SPDEs.

This lecture does not assume knowledge of the content of the March 2 lecture.