Workshop on Microlocal Methods and Mathematical Physics
September 8 - 14, 1997, The Fields Institute
Description
This workshop is a part of the program Microlocal Methods in Geometric Analysis and Mathematical Physics (fall 97). The purpose of this workshop is to bring together experts on mathematical physics and on microlocal methods in the study of partial differential equations. The specific topics will include
- semi-classical analysis
- large Coulomb systems
- periodic structures and random potentials
- resonances
Schedule
| 09:00 to 09:05 |
D.Dawson Director's Address
Location:The Fields Institute |
| 09:05 to 09:55 |
The Ginzburg-Landau equation (joint work with Stephen Gustafson)
I.M.Sigal, University of Toronto Location:The Fields Institute |
| 09:55 to 10:20 |
Coffee Break
|
| 10:20 to 11:10 |
Level spacings and eigenvalue correlations
S.Zelditch, Johns Hopkins Location:The Fields Institute |
| 11:20 to 12:10 |
Stability of non-relativistic matter and ultraviolet cutoff QED Chair: B.Helffer
G.M.Graf, ETH Zurich Location:The Fields Institute |
| 12:10 to 14:00 |
Lunch
|
| 14:00 to 14:50 |
The dynamics of some quantum open systems with short range non linearities
F. Nier, Paris-sud Location:The Fields Institute |
| 15:00 to 15:50 |
Almost periodic Schr\"odinger equations. Adiabatic case. II
A.Fedotov, St.Petersburg State University / Universite Paris 12 Location:The Fields Institute |
| 16:00 to 16:50 |
Absolute continuity of the periodic magnetic Schr\"odinger operator Chair: I.M.Sigal
A.Sobolev, University of Sussex Location:The Fields Institute |
| 17:00 to 17:50 |
A bound on the maximum negative ionization of one-dimensional models for many-electron atoms in extremely strong magnetic fields
M.B.Ruskai, Univ Mass Lowell Location:The Fields Institute |
| 18:00 to 18:50 |
Positive commutator methods for nonlinear wave equations: minimal periods and exponential decay of time-periodic solutions
R.Pyke, Courant Institute Location:The Fields Institute |
| 19:00 to 19:50 |
Microlocal methods in control and stabilization of elastic systems
A.M.Horn, Vanderbilt University Location:The Fields Institute |
| 09:00 to 09:50 |
Renormalization group analysis of spectral problems in quantum field theory
V.Bach, TU Berlin Location:The Fields Institute |
| 09:50 to 10:20 |
Coffee Break
|
| 10:20 to 11:10 |
Stability of relativistic quantum systems
H.Siedentop, Universitaet Regensburg Location:The Fields Institute |
| 11:20 to 12:10 |
Semi-classical spreading of quantum wave packets and trace formulas. Chair: J.Ralston
D.Robert, University of Nantes Location:The Fields Institute |
| 12:10 to 14:00 |
Lunch
|
| 14:00 to 14:50 |
Laplace integrals in large dimensions
B.Helffer, Paris-sud Location:The Fields Institute |
| 15:00 to 15:50 |
Almost periodic Schr\"odinger equation. Adiabatic case. I
F.Klopp, Universite Paris-Nord Location:The Fields Institute |
| 16:00 to 16:50 |
Scattering poles for several strictly convex obstacles Chair: A.Grigis
V. Petkov, University of Bordeaux I Location:The Fields Institute |
| 17:00 to 17:50 |
Some global existence results for nonlocal hyperbolic Cauchy problems
S. Spagnolo, University of Pisa Location:The Fields Institute |
| 18:00 to 18:50 |
Spectral Asymptotics for Hypoelliptic Operators
B.Buzano, Universita' di Torino Location:The Fields Institute |
| 09:00 to 09:50 |
Examples of quantization conditions
A.Grigis, Universite Paris 13 Location:The Fields Institute |
| 09:50 to 10:20 |
Coffee Break
|
| 10:20 to 11:10 |
Resonances for multistratified acoustic strip and ellastic half space
B.Vainberg, UNC at Charlotte Location:The Fields Institute |
| 11:20 to 12:10 |
Time dependent resonance theory and applications Chair: A.Laptev
A.Soffer, Rutgers University Location:The Fields Institute |
| 12:10 to 14:00 |
Lunch
|
| 14:00 to 14:50 |
Resonances generated by a critical point of the potential
P. Kerdelhue, Orsay University Location:The Fields Institute |
| 15:00 to 15:50 |
Semiclassical resonances in dimension one Chair: V.Petkov
T.Ramond, Universite Paris 13 Location:The Fields Institute |
| 16:00 to 16:50 |
Periodic differential operators and photonic crystals
P.Kuchment, Wichita State University Location:The Fields Institute |
| 17:00 to 17:50 |
An inverse problem related to channel scattering operatorsX.P.Wang An inverse problem related to channel scattering operators
X.P.Wang, Universite de Nantes Location:The Fields Institute |
| 18:00 to 18:50 |
An Inverse Problem in Chiral Media
S.McDowall, University of Washington Location:The Fields Institute |
| 09:00 |
(Niagara Falls trip) Free day
Location:The Fields Institute |
| 09:00 to 09:50 |
Rigorous functional integration via microlocal analysis
A.Dynin, Ohio State University Location:The Fields Institute |
| 09:50 to 10:20 |
Coffee Break
|
| 10:20 to 11:10 |
The arithmetic nature of atomic structures
L. Seco, University of Toronto Location:The Fields Institute |
| 11:25 to 12:15 |
Existence of Resonances in Metric and Potential Scattering
A.Sa Barreto, Purdue University Location:The Fields Institute |
| 12:10 to 14:00 |
Lunch
|
| 14:00 to 14:50 |
The regular and the pathological behaviour for the problem $-u''=Vu$ on the semiaxis
M.Solomyak, The Weizmann Institute Location:The Fields Institute |
| 15:00 to 15:50 |
Excited levels in a well and Nekhoroshev's theorem
T. Paul, CNRS Location:The Fields Institute |
| 09:00 to 09:50 |
The characterization problem for scattering matrices and microlocal decomposition of wave operators
A. Melin, Department of Mathematics Location:The Fields Institute |
| 09:50 to 10:20 |
Coffee Break
|
| 10:20 to 11:10 |
A problem in integral geometry with application to the Dirichlet problem for hyperbolic differential equations
B. Paneah, Technion Location:The Fields Institute |
| 11:20 to 12:10 |
Method of fixation of pseudomomentum for many particle neutral systems in magnetic fields: the hopes and the results
G. Zhislin, Radio-physics research institut Location:The Fields Institute |
| 12:10 |
We are hiking in a ravine!
Location:The Fields Institute |
| 10:00 to 10:50 |
Hyperbolic methods for second-order linear equations
Y. Kannai, Weizmann Institute of Science Location:The Fields Institute |
| 10:50 to 11:20 |
Coffee Break
|
| 11:20 to 12:10 |
Second order periodic elliptic operators. When the spectrum is absolute continuous? Chair: M.Zworski
M. Birman, St-Petrsburg State University Location:The Fields Institute |
| 12:10 to 14:00 |
Lunch
|
| 14:00 to 14:50 |
Recovering singularities of potentials from backscattering data
M. Joshi, Cambridge University Location:The Fields Institute |
| 15:00 to 15:50 |
Inverse scattering by metrics (joint work with G.Uhlmann) Chair: M.Solomyak
P. Stefanov, University of Washington Location:The Fields Institute |
| 16:00 to 16:50 |
Long-time asymptotics and attractors of nonlinear wave equations
A. Komech, Moscow State University Location:The Fields Institute |
| 17:00 to 17:50 |
Quantization of toral symplectomorphisms and deterministic models with glassy behaviour in statistical mechanics
S. Graffi, Universita' di Bologna Location:The Fields Institute |
