The goal of this programme is to bring together leading experts in the mathematical analysis of many-body quantum systems and random operators/matrices and generate a stimulating atmosphere in which new mathematical tools for dealing with these complex systems can be developed.

Disordered many-body systems form the interface for theses two main topics of the programme. The recent rigorous results have been partially obtained by researchers whose expertise has been mainly in either the field of random operators or the field of many-particle quantum mechanics.  In view of the emerging interesting results on this interface, a combination of forces seems due. The programme offers an ideal opportunity to stimulate the exchange of ideas and initiate cooperations among these two communities.

During the programme, there will be two focussed workshops: 

Workshop I, June 8 - 12, 2015 (schedule)

Further Lectures:

• June 17, 2015, 13:30:Jan Derezinski (U of Warsaw) "My observations on how physicists use QED" (Flyer)
• June 25, 2015, 16:00: Antti Knowles (ETH Zürich) "Local law for random regular graphs" (Flyer)
• July 2, 2015, 16:00: Alessandro Giuliani (Universita di Roma, La Sapienza) "Quantum Hall effect in the Haldane model" (Flyer)
• July 8, 2015, 14:00: Bruno Nachtergaele (UC Davis) "Frustration-Free Quantum Spin Systems" (Flyer)
• July 8, 2015, 16:00: Daniel Ueltschi (U Warwick) "Spin 1 system with SU(2)-invariant interactions" (Flyer)

Workshop II, July 13 - 17, 2015 (schedule)
Further Lectures:

• July 20, 2015, 14:00: Igor Aleiner (Columbia University) "The internal structure of a vortex in a two-dimensional superfluid with long healing length" (Flyer)
• July 20, 2015, 16:00: Rupert Frank (Caltech) "Derivation of an effective evolution equation for a strongly coupled polaron" (Flyer)