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Schedule, Notes/Handouts & Videos

Mathematical Semi-Classical Analysis May 05, 2003 - May 09, 2003

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May 05, 2003
Monday
08:00 AM - 05:00 PM
  Perturbations of self-adjoint operators with periodic flow-branching levels
Johannes Sjostrand (École Polytechnique)
08:45 AM - 09:00 AM
  Welcome and Introduction
Loa Nowina-Sapinski
09:00 AM - 10:00 AM
  Control of Schrodinger equations and high energy eigenfunctions scarring (joint work with M. Zworski)
Nicolas Burq (Université Paris-Saclay)
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:30 AM
  Semi-classical measures of quantum cat maps
Stephane Nonnenmacher (Université de Paris XI)
11:30 AM - 12:30 PM
  Pseudospectra of Berezin-Toeplitz operators
Alejandro Uribe (University of Michigan)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Spectral asymptotics for perturbations of self-adjoint operators in dimension 2
Johannes Sjostrand (École Polytechnique)
03:00 PM - 03:30 PM
  Afternoon Tea
04:10 PM - 05:10 PM
  Asymptotic geometry of random algebraic varieties
Steven Zelditch (Northwestern University)
May 06, 2003
Tuesday
09:00 AM - 10:00 AM
  Normal forms for the mode conversion problem
Yves Colin de Verdière
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:30 AM
  The Schroedinger propagator for scattering metrics
Andrew Hassell (Australian National University)
11:30 AM - 12:30 PM
  Measure rigidity and eigenfunctions of the Laplacian
Elon Lindenstrauss (The Hebrew University of Jerusalem)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Dynamical zeta functions and spectrum of transfer operators: From Milnor-Thurston to Ruelle, and back
Viviane Baladi
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Quasi periodic solutions for non-linear random Schrodinger equations
Wei-Min Wang
04:30 PM - 05:30 PM
  Reception
May 07, 2003
Wednesday
09:00 AM - 10:00 AM
  Double scaling limit in random matrix models and semiclassical asymptotics of orthogonal polynomials at critical points
Pavel Bleher (Indiana University--Purdue University)
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:30 AM
  L^{p} norms of eigenfunctions in the completely integrable case
John Toth
11:30 AM - 12:30 PM
  Quantum resonances for non analytic potentials
Andre Martinez
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Pseudo-spectra of semi-classical differential operators
Nils Dencker (Lund University)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Pseudospectra and applications
E. Brian Davies
May 08, 2003
Thursday
09:00 AM - 10:00 AM
  Long-time behavior of solutions of the Nonlinear Schroedinger (NLS) Equation with rough initial data
Percy Deift (New York University, Courant Institute)
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:30 AM
  Upper bounds on the number of scattering poles
Plamen Stefanov
11:30 AM - 12:30 PM
  Density of states for periodic Schrodinger operators
Alexander Sobolev
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  On the proof of exponential estimate in the adiabatic limit (Joint work with V. Sordoni)
Shu Nakamura
03:00 PM - 03:30 PM
  Afternoon Tea
04:10 PM - 05:00 PM
  Colloquim- Invariant theory and quantum computation (60 Evans)
Hendrik Lenstra (Universiteit Leiden)
May 09, 2003
Friday
09:00 AM - 10:00 AM
  Lagrangian tori in non-selfadjoint spectral theory
Michael Hitrik (University of California, Los Angeles)
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:30 AM
  Scattering theory on symmetric spaces and for N-body Hamiltonians
Andras Vasy (Stanford University)
11:30 AM - 12:30 PM
  Uniform high frequency resolvent estimates for the Laplace-Beltrami operator on non-compact Riemannian manifolds and applications
Georgui Vodev
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Estimating the Ehrenfest time through the quantum normal form
Sandro Graffi
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