Global Harmonic Analysis
Lectures by Steven Zelditch
June 20-24, 2011
On June 20-24, 2011, The University of Kentucky will host an NSF-CBMS
conference on "Global Harmonic Analysis" featuring Steven Zelditch as
principal lecturer. Other participants will include
* Tanya Christiansen, University of Missouri
* Christopher Sogge, Johns Hopkins University
* Peter Topalov, Boston University
* Alejandro Uribe, University of Michigan
* Jared Wunsch, Northwestern University
Global harmonic analysis refers to the use of the global dynamics of
geodesic flow to study the large-eigenvalue asymptotics of the
eigenfunctions and eigenvalues of the Laplacian on a manifold. Two cases of
particular interest are quantum complete integrability, where the underlying
geodesic flow is completely integrable, and quantum chaos, where the
underlying geodesic flow is ergodic.
Professor Steven Zelditch of Northwestern University will give ten lectures
on global harmonic analysis. He will begin with basic examples (constant
curvature spaces), develop material on pseudodifferential and integral
operators, derive trace formulas including the celebrated
Duistermaat-Guillemin trace formula, and discuss applications to properties
of eigenfunctions, properties of eigenvalues, and inverse problems.
Completely integrable and ergodic systems will be considered in depth.
You can find information on how to apply for support at the conference website
www.math.uky.edu/~cbms
Applications must be received no later than February 15, 2011.
See also our conference poster.
We are grateful for the generous support of the National Science
Foundation, the Department of Mathematics, the College of Arts and Sciences,
and the Vice-President for Research at the University of Kentucky.
For further information, please contact the organizers:
Peter Hislop ([log in to unmask])
Peter Perry ([log in to unmask])
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