|Topics in differential geometry|
|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|
The class on May 12 will be canceled.
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.
Basic Riemannian geometry and algebraic topology. We will develop the necessary PDE and algebraic geometry.
Gross, Huybrechts, Joyce, Calabi-Yau manifolds and related geometries.
Joyce, Riemannian holonomy groups and calibrated geometry.