The Loewner energy of a simply connected domain on the Riemann sphere (Yilin Wang, ETH Zürich)

16.04.2018 15:15 – 16:15

Loewner's equation provides a way to encode a simply connected domain via a real-valued driving function of its boundary. The Loewner's 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 using zeta-regularization of determinants of Laplacians, and will give a characterization of finite energy domains and its connection to Teichmueller theory.

Lieu

Room 17, Séminaire "Mathématique Physique"

entrée libre