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NCTS Differential Geometry Seminar
 
16:00 - 17:00, April 22, 2021 (Thursday)
Room 515, Cosmology Building, NTU
(臺灣大學次震宇宙館 515研討室)
A Dirichlet Problem for Flat Hermitian Metrics
Kuang-Ru Wu (Academia Sinica)

Abstract:

Let be a compact Riemann surface with boundary, and a Hilbert space. We prove the existence of flat hermitian metrics on with given boundary values. The result generalizes Lempert's theorem that had $\Omega$ the unit disc. It also generalizes results of Donaldson and Coifman-Semmes to the case of infinite rank bundles but only on Riemann surfaces.


 

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