Spectral Analysis of Differential and Difference Operators

The joint meeting of the AMS, DMV, and ÖMG takes place at the University of Mainz, June 16-19 2005. Further information on the conference can be found at the official web site. The special session on Spectral Analysis of Differential and Difference Operators is organized by Evgeny Korotyaev (Potsdam and HU Berlin), Boris Mityagin (Ohio State), and Gerald Teschl (Vienna).

Structure of the spectra of Schrödinger and Dirac operators; Jacobi matrices and Orthogonal polynomials; Inverse problems and scattering theory; Random operators, completely integrable systems and other applications.

Thursday, June 16, 13h-15.30h and 16h-18.30h; Friday, June 17, 13.30h-16h; Saturday, June 18, 12.30h-15h

Time	Thursday, June 16	Friday, June 17	Saturday, June 18
12:30			Iryna Egorova
13:00	Plamen Djakov		Johanna Michor
13:30		Maria Hoffmann-Ostenhof	Daniel Lenz
14:00	Jürgen Pöschel	Thomas Hoffmann-Ostenhof	Günter Stolz
14:30	Evgeny Korotyaev	Jochen Brüning	Lech Wolowski
15:00	-	Steve Clark
15:30		Rafael Del Rio
16:00	Igor Verbitsky
16:30	Frédéric Klopp
17:00	Volker Bach
17:30	Heinz Siedentop
18:00	-

The following participant will give a 25 minutes talk.

Volker Bach, Mainz	Ferromagnetism of the Hartree-Fock-z Approximation of the Hubbard Model in the Limit of large Coupling
Anne Boutet de Monvel, Paris	Cancled (The asymptotic behavior of eigenvalues of a modified Jaynes-Cummings model)
Jochen Brüning, Berlin	Dirac systems and spectral theory
Steve Clark, Missouri-Rolla	Weyl-Titchmarsh theory for singular fintie difference Hamiltonian systems
Rafael Del Rio, Mexico City	Rank One Perturbations of Jacobi Matrices with mixed Spectra
Plamen Djakov, Sofia	Spectral gaps of 1D periodic Schrödinger and Dirac operators
Iryna Egorova, Kharkiv	The scattering problem for 1D Schrödinger operators with step-like asymptotically periodic potential
Maria Hoffmann-Ostenhof, Vienna	Properties of Coulombic wavefunctions and electron densities
Thomas Hoffmann-Ostenhof, Vienna	Spectral theory and nodal domains
Marcus Klein, Potsdam	Cancled (Spectral asymptotics of the harmonic oscillator perturbed by bounded potentials)
Frédéric Klopp, Paris-Nord	Resonances for slowly varying perturbations of the periodic Schrödinger equation
Evgeny Korotyaev, Berlin	The conformal spectral theory for Schrödinger operator with periodic matrix potentials
Daniel Lenz, Chemnitz	Cantor spectrum of Lebesgue measure zero for one-dimensional quasicrystals
Johanna Michor, Vienna	Scattering theory for Jacobi operators with quasi-periodic background
Jürgen Pöschel, Stuttgart	Hill's Potentials in Weighted Sobolev Spaces and their Spectral Gaps
Heinz Siedentop, München	The Douglas-Kroll-Heß Method: Convergence and Block-Diagonalization of the Dirac Operator
Günter Stolz, Birmingham	Unitary Anderson models
Igor Verbitsky, Missouri-Columbia	The form boundedness problem for the general second order differential operator
Lech Wolowski, Bristol	Invariant measure and Lyapunov exponent for Schroedinger operator with gamma-distributed potential

Abstracts can be found here.

Every participant is responsible for registering with the conference and for her/his travel and accommodation. Further information is available at the official web site.