|Introduction to G2 manifolds|
|Time：||13:00-14:50 every Tue and Thu from Feb. 21 to Mar. 15|
|Instructor：||Sergey Grigorian [Simons Center for Geometry and Physics - Stony Brook University]|
|Place：||Conference Room 1, Floor 1, Jin Chun Yuan West Building|
Manifolds with G2 holonomy can be considered as analogs of Calabi-Yau manifolds in seven dimensions and have become very important in both differential geometry and theoretical physics. In this course we will first introduce the general concepts of holonomy and G-structures. Later on, we will cover the properties of G2 holonomy manifolds, their constructions and properties of their moduli space.
Basic knowledge of differential geometry is necessary – connections, differential forms, bundles, curvature.
Reference for the course:
The material for the course can be found in:
D. Joyce, "Compact Manifolds with Special Holonomy", Oxford University Press, 2000
S. Grigorian, “Moduli space of G2 manifolds”, Reviews in Mathematical Physics, vol. 22 (2010), 1061-1097, arXiv:0911.2185