The Erwin Schr¨odinger International Boltzmanngasse 9 ESI Institute for Mathematical Physics A-1090 Wien, Austria Scientific Report for the Year 2001 Vienna, ESI-Report 2001 March 1, 2002 Supported by Federal Ministry of Education, Science, and Culture, Austria ESI–Report 2001 ERWIN SCHRODINGER¨ INTERNATIONAL INSTITUTE OF MATHEMATICAL PHYSICS, SCIENTIFIC REPORT FOR THE YEAR 2001 ESI, Boltzmanngasse 9, A-1090 Wien, Austria March 1, 2002 Honorary President: Walter Thirring, Tel. +43-1-4277-51516. President: Jakob Yngvason: +43-1-4277-51506.
[email protected] Director: Peter W. Michor: +43-1-3172047-16.
[email protected] Director: Klaus Schmidt: +43-1-3172047-14.
[email protected] Administration: Maria Windhager, Eva Kissler, Ursula Sagmeister: +43-1-3172047-12,
[email protected] Computer group: Andreas Cap, Gerald Teschl, Hermann Schichl. International Scientific Advisory board: Jean-Pierre Bourguignon (IHES), Luis A. Caffarelli (Austin, Texas), Giovanni Gallavotti (Roma), Krzysztof Gawedzki (IHES), Viktor Kac (MIT), Elliott Lieb (Princeton), Harald Grosse (Vienna), Harald Niederreiter (Vienna), ESI preprints are available via ‘anonymous ftp’ or ‘gopher’: FTP.ESI.AC.AT and via the URL: http://www.esi.ac.at. Table of contents General remarks . 2 Winter School in Geometry and Physics . 2 75 Jahre Schr¨odinger-Gleichung . 3 PROGRAMS IN 2001 . 3 Scattering Theory . 3 Random Walks . 5 Mathematical Cosmology . 9 Mathematical Aspects of String Theory . 11 Nonlinear Schr¨odinger and Quantum-Boltzmann Equations . 13 CONTINUATION OF PROGRAMS FROM 2000 and earlier . 15 SENIOR FELLOWS and GUESTS via Director’s shares . 17 List of Preprints in 2001 . 19 List of seminars and colloquia outside of conferences .