Le Centre de recherches mathématiques
Université de Montréal

& The Fields Institute
Toronto, Ontario


Workshop on semi-classical
theory of eigenfunctions and PDEs
June 1-10, 2004

PROGRAM

at the CRM, Montreal
and Fields, Toronto

CRM - Montreal
1 - 5 juin 2004
Fields - Toronto
June 7 - 10, 2004
Mardi/Tuesday Vendredi/Friday Lundi/Monday Mercredi/Wednesday
Mercredi/Wednesday Samedi/Saturday Mardi/Tuesday Jeudi/Thursday
Jeudi/Thursday



CRM- Montréal
TUESDAY, JUNE 1
13:30 - 14:30
Registration (Room 5345)
14:30 - 15:20
E. Heller
"Scarring and nodal structure of eigenfunctions,
including the classically forbidden region"
15:30 - 16:00
Coffee Break (Room 6245)
16:00 - 16:50
E. Bogomolny
"Superscars"
17:30 - 18:30
E. Heller
"Scars and morphology of chaotic system eigenfunctions"

This lecture will exceptionally take place at the Centre d'exposition de l'Université de Montréal
2940, chemin de la Côte Sainte-Catherine

Room 0056 (www.expo.umontreal.ca/intro.htm)

It will be followed by a reception.
WEDNESDAY, JUNE 2
09:30 - 10:20
Xu Bin
"Derivatives of spectral function and Sobolev norms
of an eigenfunction on a closed Riemannian
manifold
"
10:30 - 11:00
Coffee Break (Room 6245)
11:00 - 11:50
Y. Colin de Verdiere
"Some remarks about Bohr-Sommerfeld quantization
rules"
14:00 - 14:50
E. Bogomolny
"Percolation model for chaotic wave functions"
15:00 - 15:50
G. Popov
"Radon transform and spectral rigidity for a class
of Liouville billiard tables"
15:50 - 16:10
Coffee Break (Room 6245)
16:10 - 17:00
V. Petkov
"Semiclassical resonances and trace formulae for Stark
hamiltonians"
THURSDAY, JUNE 3
09:30 - 10:20
A. Iantchenko
"Scattering poles near the real axis for two strictly
convex obstacles
"
10:30 - 11:00
Coffee Break (Room 6245)
11:00 - 11:50
V. Guillemin
"Some analytic aspects of geometric invariant theory"
14:00 - 14:50
L. Hillairet
"Weyl's remainder on surfaces with many cylinders"
15:00 - 15:50
S. Zelditch
"Random critical points and vacua of string/M theory"
15:50 - 16:10
Coffee Break (Room 4361)
16:10 - 17:00
A. Voros
"The general 1D Schrödinger equation as an exactly
solvable problem
"
FRIDAY, JUNE 4
09:30 - 10:20
M. Shubin
"Interior radius of domains and estimates of spectra
for the Laplacian"
10:30 - 11:00
Coffee Break (Room 6245)
11:00 - 11:50
A. Barnett
"Asymptotic ergodicity of eigenfunctions in a
uniformly hyperbolic billiard
"
14:00 - 14:50
T. Tate
"Lattice path combinatorics and asymptotics of
multiplicities of weights in tensor powers"
15:00 - 15:50
F. Nazarov
"Local logarithmic asymmetry for nodal domains"
15:50 - 16:10
Coffee Break (Room 6245)
16:10 - 17:00
A. Strohmaier
"Semiclassics of spectral measures"
Conference dinner in Montreal
SATURDAY, JUNE 5
09:30 - 10:20
M. Bertola
"Formal properties of the asymptotic distribution of
eigenvalues of random matrix models
"
10:30 - 11:00
Coffee Break (Room 6245)
At The Fields Institute, Toronto
MONDAY, JUNE 7
13:30 - 14:30
Registration
14:30 - 15:30
H. Donnelly
"Spectral theory of the Laplacian for compact
Riemannian manifolds" (Lecture 1)
15:30 - 16:00
Coffee Break
16:00 - 17:00
Y. Petridis
"Weyl's Law for Heisenberg manifolds"
TUESDAY, JUNE 8
09:30 - 10:20
I. Alexandrova
"Structure of the Semi-Classical Scattering
Amplitude for General Scattering Relations
"
10:30 - 11:00
Coffee Break
11:00 - 11:50
H. Donnelly
"Spectral theory of the Laplacian for compact
Riemannian manifolds" (Lecture 2)
14:00 - 14:50
M. Min-Oo
"Asymptotic properties of the partition function for
the Gaudin Spin model
"
15:00 - 15:50
A. Uribe
"Properties and naturality of almost-K\"ahler
quantization
"
15:50 - 16:10
Coffee Break
16:10 - 17:00
D. Borthwick
"A uniform quantum version of the Kolmogorov theorem"
WEDNESDAY, JUNE 9
09:30 - 10:20
A. Venkatesh
"Quantum chaos on locally symmetric spaces"
10:30 - 11:00
Coffee Break
11:00 - 11:50
Y. Safarov
"Weyl formula for the Neumann Laplacian on domains
with rough boundaries"
14:00 - 14:50
W. Craig
"Invariant tori for PDEs"
15:00 - 15:50
L. Friedlander
"An isoperimetric inequality for quantum graphs"
15:50 - 16:10
Coffee Break
16:10 - 17:00
A. Sobolev
"Variation of the number of lattice points in large
balls"
Conference dinner in Toronto
THURSDAY, JUNE 10
09:30 - 10:20
V. Ivrii
"25 years after"
10:30 - 11:00
Coffee Break
11:00 - 11:50
H. Donnelly
"Spectral theory of the Laplacian for compact
Riemannian manifolds" (Lecture 3)
14:00 - 14:50
P. Guan
"Convexity problem in nonlinear elliptic PDE"
12:00 - 13:00
A. Ionescu
"$L^p$ Carleman inequalities and uniqueness of
solutions of nonlinear Schroedinger equations"