Abstract for the talk at 20.05.2014 (16:45 h)

Oberseminar ANALYSIS - PROBABILITY

Massimiliano Gubinelli (Université Paris-Dauphine, France)
Paracontrolled distributions and SPDEs

I will explain how ideas from the theory of non-linear waves, namely the paradifferential calculus of Bony, can be used to tackle problems in the theory of SPDEs and more generally for problems involving non-linear operation on distributions. These methods are suitable to solve problems going from differential equations driven by rough paths to the parabolic Anderson model in 2 dimensions, the Kardar-Parisi-Zhang equation, the equation of stochastic quantisation in 3d. If time permits we will may out also links with the recent theory of regularity structures of M. Hairer.