Program
Analysis and Geometry of Finite Graphs
Student No.:50
Time:Mon./Wed./Fri. 10:30-12:00 am
Instructor:Alexander Grigorian  [University of Bielefeld]
Place:Conference Room 3, Floor 2, Jin Chun Yuan West Building
Starting Date:2012-2-20
Ending Date:2012-3-2

Course description:

Part 1 is devoted to the spectral properties of the discrete Laplace operator on finite graphs. Applications are given to random walks and to concentration phenomena.

Part 2 concerns with the notion of exterior forms on graphs and the associated de Rhamcohomology.

 

Prerequisite:

Basic Analysis, Algebra, Geometry

 

Reference for the course:

1. A. Grigor'yan “Lectures on Analysis on graphs”, http://www.math.uni-bielefeld.de/~grigor/aglect2.pdf

2. Chung F. R. K., Grigor'yan A., Yau S.-T.“Upper bounds for eigenvalues of the discrete and continuous Laplace operators”, Advances in Math. 117 (1996) 165-178.

3. Grigor'yan,A., Lin Y., Muranov Y., Yau S.-T. “Exterior forms on digraphs”, in preparation