College of Natural & Agricultural Sciences

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Skye 284

Dr. Zhiqin Lu, UC Irvine

Abstract: In this talk, we present the proof of the following theorem: let M be a complete non-compact Riemannian manifold whose curvature goes to zero at infinity, then its essential spectrum of the Laplacian on differential forms is a connected set. In particular, we study the case of form spectrum when the manifold is collapsing at infinity. This is joint with Nelia Charalambous.

Contact Information
Qi Zhang
Mathematics qizhang@math.ucr.edu
Type
Colloquium
Sponsor
Mathematics
Target Audience
General Public
Admission
Free
Registration Required
No
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