Department of Mathematics

Van Vleck Hall, 480 Lincoln Drive, Madison, WI

Math 865: Advanced Topics in Geometry (Spring)

Bing Wang, Spring 2018:

 

Bing Wang, Spring 2018:   Topics include: Fourier Transform and Sobolev spaces,  Laplace operator on a Riemannian manifold, Weak maximum principle, 

the heat kernel on a manifold, spectral properties, Gaussian estimates,  Green function, Ultracontractive estimates and eigenvalues,  bundle valued heat kernel.

 

References:

 [1]. Heat kernel and Analysis on Manifolds, Alexander Grigor'yan.

 [2]. Heat kernels and spectral theory, E.B. Davies.

semester: 
FallSpring

UW-Madison Department of Mathematics
Van Vleck Hall
480 Lincoln Drive
Madison, Wi  53706

(608) 263-3054

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