# Quantum Many-Body Systems, Bose-Einstein Condensation

(Web site soon online)

September 29 - October 4, 2008

Organizers: M. Sigal (Toronto), J. P. Solovej (Copenhagen), J. Yngvason (Vienne), V. Zagrebnov (Marseille)

The physics of ultracold quantum gases and Bose-Einstein condensation is currently a very active field of both experimental and theoretical research worldwide. Unveiling the fascinating properties of such quantum many-body systems by rigorous mathematical analysis is an important and difficult challenge for mathematical physics. Considerable progress has been made in recent years involving a variety of mathematical techniques, such as spectral theory of partial differential operators with a large number of variables, nonlinear partial differential equations, random walks on lattices and functional integration. Several of the most basic questions are still unanswered, however, and there is much to be learned. The workshop will bring together experts with different backgrounds to review the current status of mathematical results in the field and to discuss new developments where a mathematical approach is potentially fruitful.

INVITED PARTICIPANTS

Stefan Adams (University of Warwick)

Amandine Aftalion (Université Paris 6)

Jean-Bernard Bru (University of Vienna)

Yvan Castin (Ecole normale supérieure)

Michele Correggi (Scuola Normale Superiore SNS)

Tony Dorlas (Institute for Advanced Studies)

Laszlo Erdos (University of Munich)

Jürg Fröhlich (ETH - Honggerberg)

Allan Griffin (University of Toronto)

Stephen Gustafson (University of British Columbia)

Dieter Jaksch (Clarendon Laboratory)

Robert L. Jerrard (University of Toronto)

Horst Knörrer (ETH Zürich)

Elliot Lieb (Princeton University)

Bruno Nachtergaele (University of California, Davis)

Chris J. Pethick (NORDITA)

Manfred Salmhofer (Universität Leipzig)

Bejamin Schlein (Mathematisches Institut der Universität München)

Robert Seiringer (Princeton University)

Andras Süto (Hungarian Academy of Sciences)

Daniel Ueltschi (Zeeman Building)

Horng-Tzer Yau (Harvard University)