Program
Topics in differential geometry
Student No.:50
Time:Tue/Thu 15:10-17:00, 2016-02-23~ 2016-06-07 (except for public holidays)
Instructor:Yuguang Zhang  [Tsinghua University]
Place:Conference Room 1, Floor 1, Jin Chun Yuan West Building
Starting Date:2016-2-23
Ending Date:2016-6-7

 

The class on May 12 will be canceled.

 

 

Description:

 

 

In this lecture, I will give an introduction to some topics in differential geometry, which are not traditionally covered by the courses from the Math. Department.

 

 

Possible topics are: basic knowledge of Riemannian holonomy group, Kahler manifold, Calabi-Yau manifold, Yau’s theorem of the Calabi conjecture, the Bogomolov-Tian-Todorov theorem, calibrated geometry specifically special lagrangian submanifolds, the semi-flat mirror construction in the Strominger-Yau-Zaslow conjecture.  

 

 

Prerequisite:

 

 

Basic Riemannian geometry and algebraic topology. We will develop the necessary PDE and algebraic geometry.

 

 

Reference:

 

 

Gross, Huybrechts, Joyce, Calabi-Yau manifolds and related geometries.

 

 

Joyce, Riemannian holonomy groups and calibrated geometry.

 

 
Douglas, Gross, Dirichlet Branes and Mirror Symmetry.