|Topics in Spectral Geometry|
|Time：||【Schedule updated】Mon/Wed 10:10-12:00|
|Instructor：||Richard Schoen [Stanford University]|
|Place：||Conference Room 4, Floor 2, Jin Chun Yuan West Building|
【Schedule updated】Lecture on April 8 will be changed to April 9 at 13:00-14:50. Lectures on April 15 and 17 will be canceled.
We will begin with some of the classical work on eigenvalues forRiemannian manifolds including the basic upper and lower bounds, the Lichnerowicz theorem, the heat kernel, and connections with isoperimetric quantities such as the Cheeger constant. We will describe a recent method by B. Andrews and
Basic Riemannian geometry, linear elliptic and parabolic PDE
A reference for the classical material is chapters III and IV of the book "Lectures on Differential Geometry" by R. Schoen and S. T. Yau. References for the other material will be posted.