Room 515, Cosmology Building, National Taiwan University + Cisco WebEx, Physical+Online Seminar
(實體+線上演講 台灣大學次震宇宙館515研討室+ Cisco WebEx)
The Classification of non-Kähler Calabi Yau Geometries on Threefolds
Kuan-Hui Lee (McGill University)
Abstract:
Calabi-Yau manifolds are fundamental geometry objects in complex geometry and they have many important results. Currently, these profound results have been extended to more general settings in complex geometry. In this talk, I will first introduce Bismut--Hermitian--Einstein manifolds (BHE) which can be viewed as a natural generalization of Calabi Yau manifolds in the non-Kähler setting. Next, I will provide some examples of BHE manifolds and show that a non-Kähler compact BHE surface must be a Hopf surface. In general, the BHE manifolds could be locally viewed as a R^2-principal bundle. The main purpose is to study the transverse geometry and prove a classification result under some topological constraint.
Meeting number (access code): 2514 427 2158
Meeting password: SBpZedNj534 (72793365 when dialing from a phone or video system)
Organizers: Nicolau Sarquis Aiex (NTNU), Chung-Jun Tsai (NTU), Siao-Hao Guo (NTU)
