11/09/2020: Existence of Canonical Metrics on Non-Kähler Geometry (Simons Foundation Lecture)
11/08/2019: String duality and G2 manifolds
September 9, 2020
TITLE: Existence of Canonical Metrics on Non-Kähler Geometry, (Simons Foundation Lecture)
ABSTRACT: In this lecture, Shing-Tung Yau will give a survey on the existence of canonical balanced metrics on non-Kähler complex manifolds through the Hull-Strominger system, which was motivated by string theory on compactifications. He will discuss works by Jun Li of Fudan University in Shanghai, Ji-Xiang Fu of Fudan University, Ivan Smith of the University of Cambridge, Richard P. Thomas of Imperial College London, Tristan C. Collins of the Massachusetts Institute of Technology, French mathematician Émile Picard, Teng Fei of Rutgers University in Newark, New Jersey, Adam Jacob of the University of California, Davis, and Duong H. Phong of Columbia University.
September 8, 2019
TITLE: String duality and G2 manifolds
ABSTRACT: In this talk, I will begin by reviewing the mirror construction of G2 manifolds motivated by string duality (Gukov-Zaslow-Yau) and then discuss the physical interpretation of K stability of 3-dimensional Ricci-flat conical metrics (equivalently, Sasaki-Einstein metric and Kahler-Einstein metrics on Fano orbifolds) and how such metrics can be used to construct non-compact G2-manifolds.