Speakers: Jonathan Weitsman (Northeastern University), Vladimir Fock (IRMA, Strasbourg), Dmitry Lebedev (Laboratoire J.-V. Poncelet, Moscow)
2012.09.18 |
| Date | Tue 29 May — Fri 15 Jun |
| Time | 10:00 — 16:00 |
| Location | QGM, Aarhus University, Denmark |
The 2012 retreat for QGM and GEOMAPS PhD students will be held over a 3-week period, 29 May - 15 June 2012. The event is primarily for QGM (Aarhus, Oxford and Berkeley) and GEOMAPS PhD students, and the programme will consist of lecture series by 3 invited senior researchers, as well as talks by the participants. There will also be plenty of opportunity for you to network with your peers and engage in informal discussions.
Programme
Week 22 (29 May - 1 June 2012): mini lecture series by Jonathan Weitsman "Equivariant Morse Theory, Old and New" (3 lectures)
Abstract: Morse theory applied in the context of Hamiltonian Geometry has a long history, and the combination of these fields has yielded remarkable results. We will review this area and explain some more recent results that arise in the context of actions of loop groups.
Week 23 (4 - 8 June 2012): Lecture series by Vladimir Fock "Integrable systems, affine Lie groups and dimers" (6 lectures)
Abstract: A large class of examples of integrable systems arise on certain submanifolds of affine Lie groups. Such systems are enumerated out of certain elements of affine Weyl groups. The most commonly known integrable system of this class is the relativistic Toda chain, but many other ones, like integrable tops, fit into this class. We shall present another construction of integrable systems due to A.Goncharov and R.Kenyon, who construct them constructed out of integral convex polygons on the plane. These two classes of integrable systems turn out to be almost the same. However, Goncharov-Kenyon point of view gives a new insight on the whole world of integrable systems (and thus can be used as an introduction to the subject). For example, the phase space in the GK approach comes equipped with a cluster variety structure, which implies that it has simple parametrization, has a discrete group action, has a canonical basis of function on it, can be easily quantized and has other nice properties. Another advantage of the GK approach is that the construction of integrable system uses a new technique to the subject, namely it is given by dimer partition functions.
Week 24 (11 - 15 June 2012): Lecture series by Dmitry Lebedev "Whittaker function and beyond"(3 lectures)
Vladimir Fock will be in Aarhus during week 23 only, and Dmitry Lebedev will be present throughout June.
Social Program
Friday 8 June at 6.30pm: special dinner at Restaurant Sechzehn (Früd). Participation is free of charge, but you must be signed up for this. Directions from QGM.
