Three Approaches to Random Jordan Curves and Their Equivalence

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Abstract:

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.

Biography:

Guillaume Baverez is an Assistant Professor at Peking University. He works on probabilistic approaches to conformal field theory.

Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai

This event is open to the NYU Shanghai community and Math community.