Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 203 / 3 / b / Solution

The Conformal Markov property of SLE says that, conditionally on $(K_s{)}_{s\le t}$, the future hullshave the law of a fresh SLE in $(\mathbb{H},0,\infty )$ and are independent of the past, with the usual interpretation of mapping out the old hull.