Spectra of negatively curved Riemannian manifolds
| Speaker |
Mayukh Mukherjee, Indian Institute of Technology (IIT) Bombay
|
|---|---|
| When |
Jan 14, 2025
from 04:00 PM to 05:00 PM |
| Where | Via zoom |
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COLLOQUIUM TALK
Abstract: We discuss various issues surrounding the spectra of complete Riemannian manifolds (and sometimes orbifolds) of non-positive curvature. These include, among other topics, absolute and (absence of) singularly continuous spectra, small eigenvalues and eigenfunction decay. This describes previous (and ongoing) joint work with Ballmann and Polymerakis.
Speaker Bio: Mayukh Mukherjee is a faculty member in the Department of Mathematics at IIT Bombay, India. He earned his Ph.D. in 2015 from the University of North Carolina at Chapel Hill, United States. He then worked at the Max Planck Institute, Germany, and the Technion - Israel Institute of Technology, Israel. His research focuses on geometric analysis, spectral theory, partial differential equations (PDEs), differential geometry, harmonic analysis, and probability.
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Meeting ID: 984 0821 6949
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