Geometrization Problems in Sasakian 5-Manifolds

 [NTNU MATH-CAG-MSRC Joint Program on Geometric Analysis] 【09月13日】張樹城 / Topics on Geometry and Analysis of Sasakian Five-Manifolds: Lecture One

Time  :  15:30-17:00 (Wednesday), 09/13, 2023
Place :    M210, Math. Dept., National Taiwan Normal University

In this lecture series, we will address the related issues on Sasakian geometry including :

     (I) Lecture One : Geometrization Problems in Sasakian 5-Manifolds (9/13)
     (II) Lecture Two : Foliation Minimal Model Program on Sasakian Five-Manifolds (9/20)
     (III) Lecture Three : Topology and Geometry of Legendrian Submanifolds of Sasakian Manifolds (9/27)
     (IV) Lecture Four : Yau Uniformization Conjecture on Complete Noncompact Sasakian Manifolds (10/4)

Lecture One  Abstract:

    Sasakian geometry is very rich as the odd-dimensional analogous of Kaehler geometry. For instance, a Sasaki-Einstein 5-manifold is to say that its Kaehler cone is a Calabi-Yau 3-fold. It provides interesting examples of the AdS/CFT correspondence. On the other hand, the class of simply connected, closed, oriented, smooth 5-manifolds is classifiable under diffeomorphism due to Smale-Barden. It is our goal to address the issue on the geometrization and uniformization problem of Sasakian manifolds in this first lecture series.