Speaker: Yu-Ting Chen

Title: Stochastic path integrals of the two-dimensional delta-Bose gas

Abstract: This talk will overview a Feynman-Kac-type formula given by a non-exponential multiplicative functional of an SDE with singular drift. The formula represents the Schrödinger semigroup of the many-body delta-Bose gas in two dimensions, and the SDE realizes in a probabilistic, non-Gaussian manner the attractive interactions of particles in the delta-Bose gas operator. A significant part of the talk will introduce the SDE of the two-body case. This simplest case provides several key ingredients for constructing the manybody SDE.