Struwe solutions are well-known in the study of harmonic map heat flow and related equations. These globally existing weak solutions are smooth away from at most finitely many singularities (for 2D-domains). We aim to explore their stochastic counterpart, where time of occurrence and location of singularities need to be reformulated in a stochastic setting. We first review the deterministic case, then outline key steps towards the stochastic case, and finally discuss the regularity assumptions imposed on the noise. This talk/series of talks is based on a joint work with Ben Goldys (USYD) and Christof Melcher (RWTH Aachen University). Date: Tue 15 Apr, 11am - 12pm Location: Room 3085, Red Centre, UNSW