Title: Laplace Operator and the Topology of Complete Manifolds
Speaker: Professor Peter Li
Speaker Info: University of Califronia, Irvine
Brief Description:
Special Note:

In this talk, we will discuss how the Laplace operator is used to determine certain topological information of a complete non-compact manifold. Hodge theory asserts that when a manifold is compact, then its homology group can be computed using harmonic forms. Unfortunately, a similar theory does not exist for non-compact manifolds. However, for certain situations, one can still control some topological aspect using the analytic property of the Laplace operator. An example of this is a generalization of a theorem of Witten-Yau.
Date: Friday, November 30, 2001
Time: 4:00pm
Where: Lunt 105
Contact Person: Prof. Elton P. Hsu
Contact email: elton@math.northwestern.edu
Contact Phone: 847-491-8541
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