3rd Munich Workshop

on Spectral Theory of Singular Differential Operators

in honour of Prof. Dr. Ernst Wienholtz on the occasion of his 70th birthday

Mathematical Institute, University of Munich

4-6 May 2001

Supported by Graduiertenkolleg "Mathematik im Bereich ihrer Wechselwirkung mit der Physik"
and Sonderforschungsbereich 438 "Mathematische Modellierung, Simulation und Verifikation in materialorientierten Prozessen und intelligenten Systemen" ( Technical University Munich).

History

This has been be the fifth(!) in a series of workshops on spectral theory held at our department
these last twenty-odd years. The 0th Munich Workshop was held in July 1979 on the occasion of
a visit of Tosio Kato. The 1st and 2nd Munich Workshop took place in January 1991 and 1997,
and there was an additional International Workshop on Analysis of Differential Operators last summer.

Program

There was a Colloquium (in German) in Honour of Prof. Wienholtz on 3 May 2001.
with a welcome by the Dean of the Faculty for Mathematics and Computer Science, Martin Wirsing.
Principal speaker was Jochen Brüning ( Institut für Mathematik, Humboldt-Universität zu Berlin; Berlin, Germany);
he talked on Geometrie und Spektrum.

Friday, 4 May 2001

Chair: Hubert Kalf, Mathematical Institute, University of Munich (Munich, Germany)
08:45 Andreas M. Hinz, Mathematical Institute, University of Munich & Center for Mathematics, Technical University Munich (Munich, Germany) Opening
09:00 E. Brian Davies, Department of Mathematics, King's College London (London, U. K.) Spectral Theory of the Neumann Laplacian
10:00 Karl Michael Schmidt, School of Mathematics, Cardiff University (Cardiff, U.K.) Spectral properties of Dirac operators with potentials infinite at infinity
10:40 coffee/tea
11:10 Osanobu Yamada, Department of Mathematical Sciences, Ritsumeikan University (Kusatsu, Japan) A Virial Theorem of Dirac Equations with a Variable Mass Term
11:50 Takashi Okaji, Department of Mathematics, Kyoto University (Kyoto, Japan) Absence of eigenvalues of Dirac operators with potential diverging at infinity
12:30 lunch break

Chair: Werner O. Amrein, Département de Physique Théorique, Université de Genève (Geneva, Switzerland)
14:30 Heinz O. Cordes, Department of Mathematics, University of California (Berkeley CA, U.S.A.) On an eigenvalue problem of the form Au=lambda Bu with differential operators A,B of the same order, and possible applications
15:10 Heinz Siedentop, Mathematical Institute, University of Munich (Munich, Germany) The Energy of the Relativistic Electron-Positron Field in Quasi-Free States
15:50 coffee/tea
16:20 Gerassimos Barbatis, Department of Applied Mathematics, University of Crete (Heraklion, Greece) A unified approach to improved L^p Hardy inequalities with best constants
17:00 Frédéric Klopp, Département de Mathématiques, Université Paris 13 (Villetaneuse, France) The spectrum of a family of one dimensional quasi-periodic Schrödinger operators in the adiabatic limit
18:00 end of Friday sessions

Saturday, 5 May 2001

Chair: Thomas Kriecherbauer, Mathematical Institute, University of Munich (Munich, Germany)
09:00 Walter Craig, Department of Mathematics and Statistics, McMaster University Hamilton (Hamilton ON, Canada) Traveling water waves
10:00 Martin Klaus, Mathematics Department, Virginia Tech (Blacksburg VA, U.S.A.) Spectral properties of the Zakharov-Shabat system and their influence on the propagation of optical pulses with chirping
10:40 coffee/tea
11:10 Robert Kauffman, Department of Mathematics, University of Alabama at Birmingham (Birmingham AL, U.S.A.) On the ergodicity of geodesic flow
11:50 Christian Remling, Lehreinheit Mathematik, Universität Osnabrück (Osnabrück, Germany) Quantum dynamics and reducing subspaces
12:30 lunch break

Chair: Gotskalk S. Halvorsen, Institutt for energiteknikk (Kjeller, Norway)
14:30 Christer Bennewitz, Department of Mathematics, Lund University (Lund, Sweden) A Paley-Wiener theorem with applications to inverse spectral theory
15:10 B. Malcolm Brown, Department of Computer Science, Cardiff University (Cardiff, U.K.) The Weyl nesting circle theory for systems of complex Ode's
15:50 coffee/tea
16:20 Marco Marletta, Department of Mathematics and Computer Science, University of Leicester (Leicester, U.K.) Spectral inclusion and spectral exactness for singular non-selfadjoint Sturm-Liouville problems
17:00 W. Des Evans, School of Mathematics, Cardiff University (Cardiff, U.K.) Recent results on the zero modes of Dirac and Pauli operators and their multiplicity
18:00 end of Saturday sessions

Sunday, 6 May 2001

Chair: Herbert Spohn, Center for Mathematical Sciences, Technical University Munich (Munich, Germany)
09:00 Stefan Teufel, Center for Mathematical Sciences, Technical University Munich (Munich, Germany) Adiabatic decoupling and the time-dependent Born-Oppenheimer theory
09:40 Thomas Hoffmann-Ostenhof, Institute for Theoretical Chemistry and Molecular Structural Biology, University of Vienna (Vienna, Austria) Eigenvalues in Symmetry Subspaces
10:20 coffee/tea
10:50 Maria Hoffmann-Ostenhof, Department of Mathematics, University of Vienna (Vienna, Austria) Coulombic wavefunctions and electron densities
11:30 Ludvig D. Faddeev, Steklov Institute of Mathematics (St. Petersburg, Russia) Topological solitons in dimension 3
12:30 end of workshop

Abstracts

of the talks can be viewed here.

Participants

Cristian Danet, Department of Mathematics, University of Craiova (Craiova, Romania), currently Center for Mathematical Sciences, Technical University Munich (Munich, Germany)
Peter Dierolf, Department of Mathematics, University of Trier (Trier, Germany)
Walter Farkas, Mathematical Institute, University of Munich (Munich, Germany)
Christian Hainzl, Mathematical Institute, University of Munich (Munich, Germany)
Doris Jakubaßa, Mathematical Institute, University of Munich (Munich, Germany)
Barbara Janauschek Mathematical Institute, University of Munich (Munich, Germany)
Karl-Heinz Jansen, Division of Mathematics, University of Technology (Aachen, Germany)
Dankward Kniepert, Division of Mathematics, University of Technology (Aachen, Germany)
Andreas Kunz, Center for Mathematical Sciences, Technical University Munich (Munich, Germany)
Herbert Leinfelder, Fachbereich Allgemeinwissenschaften, Georg-Simon-Ohm-Fachhochschule (Nürnberg, Germany)
Peter Otte, Mathematical Institute, University of Munich (Munich, Germany)
Hanns-Walter Rohde, Division of Mathematics, University of Technology (Aachen, Germany)
Edgardo Stockmeyer, Facultad de Física, Pontificia Universidad Católica de Chile (Santiago, Chile), currently Mathematical Institute, University of Munich (Munich, Germany)
Jürgen Voigt, Institute for Analysis, Technical University Dresden (Dresden, Germany)
Johann Walter, Division of Mathematics, University of Technology (Aachen, Germany)
Jürgen Witte, Division of Mathematics, University of Technology (Aachen, Germany)
Semjon Wugalter, Mathematical Institute, University of Munich (Munich, Germany)

Guests of Honour

Myrsini Wienholtz-Hatzidaki
Ernst Wienholtz

Pictures

Professor Dr. Ernst Wienholtz at the Workshop.
Group photo of participants, version 1, version 2.
Academician Professor Ludwig Faddeev at the Workshop.
(Photos: Heinrich Steinlein)

Participants at work and at home.
Tea time .
Andreas M. Hinz during tea time.
Munich at the time of the Workshop.
(Photos: Takashi Okaji)

Important information

Conference venue was the Department of Mathematics at the University of Munich,
Theresienstraße 39, Lecture Room E27.

Coffee/tea was served in Common Room 446-448 (Block B).

Useful information

The library of the Mathematical Institute (room 103-106) is open Monday to Friday, from 09:00 to 20:00.
Please make sure to leave bags and the like outside the library.

Maybe you want to know, weather it will be nice in Munich.

Among the other events which took place in Munich at the time of the workshop,
there were

the Spring Fest (very small version of the famous October Fest)
the May Dult (typical Munich market)
the 16th International Documentary Film Festival
the BMW Open Tennis Tournament
and as a very special event the Long Night of Music (5/6 May) with
church music, classical, flamenco, jazz, blues or hip hop at over 60 venues
throughout the city, linked by special buses; highlight will be Lohengrin
at the Bayerische Staatsoper.

Travel information

Arriving at the airport follow the signs with a white "S" on green to take any "S-Bahn" (S1 or S8).
(On your way back to the airport make sure you are in the right coach if you take the S1!)
Alight at "Hauptbahnhof" (Central Station) for Hotel Flora or at "Marienplatz" (city center)
for the other hotels; in the latter case you change for the U-Bahn (underground) U3 or U6 northbound and get out at "Odeonsplatz", which is on our map.

Arriving at the "Hauptbahnhof" (Central Station) you can take any "S-Bahn" eastbound to get to "Marienplatz".

There are ticket counters at the entrance of the S-Bahn at both the airport and the central station.
The fare scheme of the Munich public transport system ( MVV) is one of the most complicated in the world and a typical example of what the brains of German civil servants can come up with these days!
You have the choice among (at least) the following:

1. a one-way ticket (expensive, not advisable)
2. something they call a "strip(e) ticket" (Streifenkarte) (cheaper, but not easy to use correctly)
3. a day or 3-day ticket coming in 8 combinatorial variants, depending on areas and number of persons travelling (recommended, if carefully chosen)
To make things even more complicated, there is the München Welcome Card 2001 which in addition offers reduction in some museums and other sights.
4. the "IsarCard" (Isar is the river in Munich): you have to ask for an envelope and buy a weekly ticket for week no. 18 and Rings 1 and 2, which will cost you 16,50 DEM and will be valid from 30 April, 00:00, to 7 May, 12:00, in the rings nos. 1 and 2 (not Zones no. 1 and 2!), which you will hardly leave during your visit (except for the airport!). This is recommended if you plan to make 6 single trips or more during that period. It has the further advantage that you can pass it on to someone else if you do not use it yourself.
For the transfer from/to the airport a combination of 1./2. with 3./4. is advisable; ask at the MVV counter for advice.

All tickets are valid on S-Bahn, U-Bahn, Buses and Tram.
Children of age less than 6 are free. There are a couple of advantageous ticket offers for two and more people.

The fine for travelling without a valid ticket is currently 60 DEM.

Disclaimer: We cannot guarantee for the correctness of the information given above.
Moreover, we decline any responsibility for the contents of the links on this page.

All times are given in Central European Daylight Saving Time, i.e. UT+2h.

Andreas M. Hinz (room 212, Tel. 23944475), Hubert Kalf (room 314, Tel. 23944622), Heinz Siedentop (room 409, Tel. 23944409).

A. M. Hinz, andreas.hinz@mathematik.uni-muenchen.de, 2001-05-28