This seminar will be presented in hybrid mode.  The speaker will deliver his talk in person.

Title: Renormalization of a stochastic NLS model

Abstract: We will start with a brief introduction about the main two lines of research associated with random NLS (nonlinear Schrödinger) equations. Then we will focus on the interpretation and well-posedness of a stochastic model driven by a space-time fractional noise. In the rough situation, this equation cannot be treated in a classical functional sense, making the interpretation of the nonlinearity a major issue. We will discuss about a possible renormalization procedure allowing to restore local well-posedness of the problem, provided the noise is not too rough. The talk is based on a joint work with Reika Fukuizumi and Laurent Thomann.

The talk will be followed by refreshments in the Huxley Common Room at 5pm.