Coefficient problem for whole-plane SLE

Speaker(s)

Michel Zinsmeister

Affiliation

Université d'Orléans

Date

Nov. 16, 2012, 10:15 a.m.

Room

room 5840

Seminar

Seminar of Dynamical Systems Group

---

We revisit Loewner's method to prove the n=3 case of the Bieberbach conjecture in the case of whole-plane SLE. We show in particular that we can explicitly compute expectation and variance of the coefficients in infinitely many cases. We also investigate multifractal spectrum of whole plane SLE. This is a joint work with B.Duplantier, Nguyen Thi Phuong Chi and Nguyen Thi Thuy Nga.

---