R440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
Title: 1. Constraint Manifolds with the Dominant Energy Condition
Title: 2. Holomorphic Curvature and Canonical Metic
Lan-Hsuan Huang (University of Connecticut)
Speakers:
Lan-Hsuan Huang (University of Connecticut)
Damin Wu (University of Connecticut)
Organizers:
Kuo-Wei Lee (NTU)
Yng-Ing Lee (NTU)
Chun-Chi Lin (NTNU)
Chung-Jun Tsai (NTU)
Mao-Pei Tsui (NTU)
Title: 1. Constraint manifolds with the dominant energy condition
Abstract:
The deformation results to the strict dominant energy condition are important analytic tools to study the space of initial data sets for the Einstein field equations. For non-vacuum initial data sets, there is a serious technical detail in deforming to the strict inequality from a weak inequality. In the joint work with Justin Corvino, we introduce a new modified Einstein constraint operator. By establishing local surjectivity of the operator, we can promote the dominant energy condition by compactly supported deformations and obtain new gluing results.
Title: 2. Holomorphic curvature and canonical metic
Abstract:
I will talk about a construction of Kahler-Einstein metric under the assumption of negative holomorphic sectional curvature, based on a joint work with Yau.
