Mini-Course

Dec 29-30, 2019、Jan 2, 2020 in NTHU, Hsinchu







Sun-Yung Alice Chang 張聖容 (Princeton/NTHU)


Lecture 1 and Lecture 2
Time: December 29 Sunday - 30 Monday, 2019
Title: Compactness of conformally compact Einstein manifolds in dimension 4.

Lecture 3
Time: January 2 Thursday, 2020
Title: Improved Moser-Trudinger-Onofri inequality under constraints.



Abstract

Paul Yang 楊建平 (Princeton)


Lecture 4
Time: December 29 Sunday, 2019
Title: Theory of surfaces in the Heisenberg.

Lecture 5
Time: December 30 Monday, 2019
Title: The CR Yamabe equation.

Lecture 6
Time: January 2 Thursday, 2020
Title: The Q-prime curvature.


Abstract

Conference


Jan.4 - 5: Conference (Academia Sinica, Taipei)
Jan.7 - 9: Conference (NTHU, Hsinchu)

Invited Speakers

Jeffrey Case

Pennsylvania State University
The Frank–Lieb approach to sharp Sobolev inequalities

Abstract

Sun-Yung Alice Chang

Princeton University
TBA

Abstract

Eric Chen

UC Santa Barbara
L n/2 curvature pinching for the Ricci flow on asymptoticallyflat manifolds

Abstract

Siqi Fu

Rutgers University-Camden
Spectral stability of the complex Laplacian

Abstract

Yuxin Ge

University of toulouse 3
Conformally compact Einstein manifolds in high dimensions

Abstract

Qing Han

University of Notre Dame
The Loewner-Nirenberg Problem in Cones

Abstract

Chin-Yu Hsiao

Academia Sinica
Geometric quantization on CR manifolds

Abstract

Lan-Hsuan Huang

University of Connecticut
Mass rigidity for hyperbolic manifolds

Abstract

Mijia Lai

Shanghai Jiao Tong University
Some rigidity theorems for manifolds with boundary

Abstract

Yueh-Ju Lin

Wichita State University
Volume Comparison of Q-curvature

Abstract

Taiji Marugame

Academia Sinica
Chains in CR geometry as geodesics of a Kropina metric

Abstract

Yoshihiko Matsumoto

Osaka University
A construction of Poincare-Einstein metrics of cohomogeneity one on the ball

Abstract

Stephen McKeown

University of Texas at Dallas

Abstract

Jie Qing

University of California Santa Cruz

Abstract

Yuya Takeuchi

Osaka University
Non-negativity of CR Paneitz operator for embeddable CR manifolds

Abstract

Fang Wang

Shanghai Jiao Tong University
Comparison theorems for GJMS Operators

Abstract

Yi Wang

Johns Hopkins University

Abstract

Paul Yang

Princeton University

Abstract

Ruobing Zhang

Stony Brook University
Geometry and analysis of degenerating Calabi-Yau manifolds

Abstract

Yongbing Zhang

University of Science and Technology of China
A CR invariant energy of maps via energy renormalization

Abstract


Past events

2019 Taipei Conference on Geometric Invariance and Partial Differential Equations


HERE


2018 Taipei Conference on Geometric Invariance and Partial Differential Equations


HERE