Yilin Wang: The Loewner energy of a simply connected domain on the Riemann sphere
Tid: Må 2018-03-26 kl 15.15
Plats: F11, KTH
Medverkande: Yilin Wang (ETH Zurich)
Loewner's equation provides a way to encode a simply connected domain via a real-valued driving function of its boundary. The Loewner energy of the domain is the Dirichlet energy of the driving function. It depends a priori on the parametrization of the boundary. However it was shown previously that there is no such dependence. In this talk I will present an intrinsic interpretation of the Loewner energy and a characterization of finite energy domains.