Speaker: Bertrand Duplantier
Title: Complex Generalized Integral Means Spectrum of Whole-Plane SLE
Abstract:

We describe recent advances in the multifractality of the harmonic measure 
of Schramm-Loewner Evolution (SLE). 
A generalized notion of integral means spectrum is introduced, 
that involves the averaged mixed moments of both the SLE conformal 
map and its derivative. It yields a dual description of interior 
and exterior whole-plane SLE. Integrability loci exist in the moment 
plane, with four different forms of the spectrum separated by phase 
transition lines. These forms can be extended to complex moments.

Based on joint works with Dmitry Belyaev, Ilia Binder, 
Xuan Hieu Ho, Thanh Binh Le, and Michel Zinsmeister.