Title: “On the massive loop-erased random walks and massive SLEs”.

Abstract: The last decade has witnessed numerous breakthroughs in
establishing rigorously the conformal invariance of some statistical
models at the critical temperature, largely due to the introduction of
SLEs, Schramm Loewner Evolutions. In arXiv:0909.5377, Makarov and
Smirnov suggested a framework on how to adapt the calculations at
criticality for massive SLEs. Nevertheless, massive cases are still less
explored and many questions therein remain open. In this talk, we
introduce versions of perturbed loop-erased random walks and their
scaling limits massive SLE(2)s on rough domains. We also introduce a way
to perturb the Ising model for obtaining a massive spanning forest and
the conjectural scaling limit massive SLE(2) for its interface subject
to the Dobrushin boundary condition.