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"

Organisé par

Section de mathématiques

Intervenants

Yilin Wang, ETH Zürich

entrée libre

Classement

Catégorie: Séminaire