Laplacian Eigenvalues and Eigenfunctions: Theory, Computation, Application - IPAM

Laplacian Eigenvalues and Eigenfunctions: Theory, Computation, Application

February 9 - 13, 2009

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, February 9, 2009

Morning Session

08:00-08:45
Continental Breakfast
08:45-09:00
Welcome and Opening Remarks
09:00-10:00
Ronald Coifman (Yale University)
Eigenfunctions of Lapalace operators as Integrators of local models.
10:00-10:15
Break
10:15-11:15
Mauro Maggioni (Johns Hopkins University)
Parametrizations of manifolds via Laplacian eigenfunctions and heat kernels
11:30-13:00
Lunch (on your own)

Afternoon Session

13:00-14:00
Alfred Stone (Yale University)
Parametrized non-hermitian Laplacian eigenvalue problem for solution of the laser equations
14:00-14:15
Break
14:15-15:15
Fan Chung-Graham (University of California, San Diego (UCSD))
PageRank as a discrete Green's function
15:15-15:30
Break
15:30-16:30
Naoki Saito (University of California, Davis (UC Davis))
Analysis of Neuronal Dendrite Patterns Using Graph Laplacians
16:30-18:00
Welcome Reception and Poster Session

Tuesday, February 10, 2009

Morning Session

08:00-09:00
Continental Breakfast
09:00-10:00
Terence Tao (University of California, Los Angeles (UCLA))
Harmonic functions on groups of polynomial growth
10:00-10:15
Break
10:15-11:15
Kate Okikiolu (University of California, San Diego (UCSD))
The sum of squares of wavelengths of a closed surface
11:30-13:00
Lunch (on your own)

Afternoon Session

13:00-14:00
Alex Bronstein (Novafora Inc.)
A metric approach to nonrigid shape analysis
14:00-14:15
Break
14:15-15:15
Martin Reuter (Massachusetts Institute of Technology)
Spectral Methods for Non-Rigid Shape Analysis
15:15-15:30
Break
15:30-16:30
Francois Meyer (University of Colorado Boulder)
Image de-noising on the manifold of patches: a spectral approach

Wednesday, February 11, 2009

Morning Session

08:00-09:00
Continental Breakfast
09:00-10:00
Pabitra Sen (Schlumberger-Doll Research)
Time-dependent Diffusion, Dispersion and Decay as a Probe of Geometry
10:00-10:15
Break
10:15-11:15
Denis Grebenkov (École Polytechnique)
Laplacian Eigenfunctions in NMR
11:30-13:00
Lunch (on your own)

Afternoon Session

13:00-14:00
Bedros Afeyan (Polymath Research, Inc.)
Near Stochastic Resonance between Surface Perturbations Could Cause Imploding Shell Breakup of an Inertial Confinement Fusion Target
14:00-14:15
Break
14:15-15:15
Krzysztof Burdzy (University of Washington)
On the Robin problem in fractal domains
15:15-15:30
Break
15:30-16:30
Stephane Nonnenmacher (Service de Physique Theorique CEN Saclay)
Mode localization on chaotic manifolds: an entropy approach (Collab. with N.Anantharaman)

Thursday, February 12, 2009

Morning Session

08:00-09:00
Continental Breakfast
09:00-10:00
Bernard Sapoval (École Polytechnique)
Localisation of eigenfunctions and increased dissipation in irregular resonators. Applications to wave absorption.
10:00-10:15
Break
10:15-11:15
Marcel Filoche (École Polytechnique)
The toposcopy: how to deduce the shape of an electrode from a black box measurement
11:30-13:00
Lunch (on your own)

Afternoon Session

13:00-14:00
Alex Barnett (Dartmouth College)
Computing eigenmodes on the torus: photonic crystals using second-kind integral equations
14:00-14:15
Break
14:15-15:15
Gregory Beylkin (University of Colorado Boulder)
On approximation of operators by Gaussians
15:15-15:30
Break
15:30-16:30
Carlos Alves (Technical University of Lisbon)
Computing eigensolutions with meshless methods - advantages and difficulties.

Friday, February 13, 2009

Morning Session

08:00-09:00
Continental Breakfast
09:00-10:00
Michel Lapidus (University of California, Riverside (UC Riverside))
Spectra of Laplacians on Fractal Domains
10:00-10:15
Break
10:15-11:15
Maciej Zworski (University of California, Berkeley (UC Berkeley))
Resonances for chaotic open systems
11:30-13:00
Lunch (on your own)

Afternoon Session

13:00-14:00
Arnd Backer (Technishche Universtitat Dresden)
Surprises in the time-evolution of wave-packets
14:00-14:15
Break
14:15-15:15
Nalini Anantharaman (École Polytechnique)
Semiclassical measures for the time-dependent Schroedinger equation
15:15-15:30
Break
15:30-16:30
Ilya Gruzberg (University of Chicago)
Anderson transitions, critical wave functions, and conformal invariance.
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