In the first decade of the 21st century, there were three a priori distinct approaches to conformally invariant measures on Jordan curves: the Schramm-Loewner evolutions, the restriction covariant measures, and the Virasoro unitarising measures. I will review these definitions and discuss a conjecture of Kontsevich and Suhov on their equivalence. Based on joint and ongoing works with Antoine Jego.

海报.pdf