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AS-NCTS Seminar on Geometry
 
16:00 - 17:00, October 16, 2020 (Friday)
R722, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 722室)
A Wess--Zumino--Witten Type Equation in the Space of Kähler Potentials in Terms of Hermitian--Yang--Mills Metrics
Kuang-Ru Wu (Academia Sinica)

Abstract:

We prove that the solution of a Wess--Zumino--Witten type equation from a domain D in  to the space of Kähler potentials can be approximated uniformly by Hermitian--Yang--Mills metrics on certain vector bundles. The key is a new version of Berndtsson's theorem on the positivity of direct image bundles.



 

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