Workshop in Spectral Geometry and its Applications

15.6 - 19.6.1998

This conference is part of the program Spectral Geometry.

Monday 15.6.

9:00 Opening
9:10-10:00 Victor Guillemin, MIT, Paired Lagrangian distributions.
10:30-11:20 Eckhard Meinrenken, University of Toronto, Quantization commutes with reduction for loop groups.
11:30-12:20 David Borthwick, Emory University, Embedding symplectic manifolds via spectral theory.
14:30-15:20 Robert Brooks, Technion, Haifa, Riemann surfaces with large lambda_123
15:30-16:20 Chris Judge, University of Indiana, Large eigenvalues and short geodesics on hyperbolic surfaces
16:30-17:20 Peter Perry, University of Kentucky, Isoscattering Schottky groups.


Tuesday 16.6.

9:00-9:50 Jochen Brüning, Humbold University, On boundary value problems for Dirac type operators.
10:30-11:20 Horst Knörrer, ETH, Zürich, Asymmetric Fermi surfaces for periodic magnetic Schrödinger operator.
11:30-12:20 Nicholas Ercolani, University of Arizona, An approach to eigenvalue statistics for coupled invariant random matrix ensembles.
14:30-15:20 Kate Okikiolu, UCSD, Critical metrics for the determinant of the Laplacian.

ESI Lecture Room

15:30-16:20 Michel Lapidus, UC Riverside, Complex dimensions of fractal strings and oscillatory phenomena, via Zeta-functions.
16:30-17:20 Michiel van den Berg, University of Bristol, Heat equations on the arithmetic van Koch snowflakes.

Common Room

15:30-16:20 Thomas Kappeler, University of Zürich, KAM for KdV.
16:30-17:20 Evgeni Korotyaev, St. Petersburg, Geometry problems for the Hill operator.


Wednesday 17.6.

9:00-9:50 Richard Melrose, MIT, Contact maps and the index of Fourier integral operators.
10:30-11:20 Thierry Paul, University Paris Dauphine, Perturbation of semiclassical limit.
11:30-12:20 John Lott, University of Michigan, Invariant currents on limit sets.

ESI Lecture Room

14:00-14:50 Victor Ivrii, University of Toronto, Eigenvalue asymptotics for the Neumann Laplacian in domains with ultra-thin cusps.
15:00-15:50 Mikhail Agranovich, Moscow Institute of Mathematics and Electronics, Spectral problems for the Helmgoltz equation and the Lame system in Lipschitz domains, with the spectral parameter in boundary conditions.

Common Room

14:00-14:50 Jared Wunsch, Harvard University, The trace of the harmonic oscillator
15:00-15:50 Franz Kamber, University of Ilinois, TBA


Thursday 18.6.

10:30-11:20 Dan Burghelea, Ohio State University, Witten-Helffer-Sjöstrand theorems in the presence of symmetry.
11:30-12:20 Michael Farber, Tel Aviv University, Ray-Singer metric and torsion of Euler structures.

ESI Lecture Room

14:30-15:20 Peter Kuchment, Wichita State University, Geometry of photonic crystals and spectral geometry.
15:30-16:20 Matthias Lesch, Humbold University, The inverse spectral problem for Dirac systems on the half-line.

Common Room

14:30-15:20 Andrew Hassell, Australian National University, The resolvent of scattering Laplacian.
15:30-16:20 Yoshi Maeda, Keio University, Groups of quantized volume preserving diffeomorphisms.


Friday 19.6.

9:00--9:50 Steve Zelditch, Johns Hopkins University, Distribution of zeroes of chaotic and random eigenfunctions.
10:30--11:20 Zeev Rudnick, Tel Aviv University, Level spacing distributions for integrable systems.
11:30--12:20 Frederic Klopp, University Paris--Nord, Spectral problems in solid state physics.
14:30--15:20 Anders Melin, Lund Institute of Technology, Exceptional points and normal forms of Schrödinger operators.
15:30--16:20 Gregory Eskin, UCLA, Inverse scattering problems in anisotropic media.