Workshop for PhD students associated with QGM.
2013.05.14 |
Date | Mon 10 Jun — Fri 14 Jun |
Time | 10:00 — 15:00 |
Location | QGM, Aarhus University |
Gus Shrader (UC Berkeley)
Jakob Blaavand (Oxford)
Alexandru Chirvasitu (UC Berkeley)
Tom Hawes (Oxford)
Tom Sutherland (Oxford)
Mette Bjerre (AU)
Paolo Masulli (AU)
Dennis H. Pedersen (AU)
Tina Kanstrup (AU)
Jens-Jakob Kratmann Nissen (AU)
Troels Bak Andersen (AU)
Søren Fuglede Jørgensen (AU)
Jens Kristian Egsgaard (AU)
Monday 10 June Location: Øv-G31 (1532-314)
09:30-10:00 Coffee/tea in the QGM Lounge (1530-326)
10:00-10:45 Jakob Blaavand (Oxford): An integrable system from doubly periodic instantons
11:15-12:15 Jürg Fröhlich (ETH Zürich) Physical Principles Underlying the Fractional Quantum Hall Effect
12.15 - 14.00 Lunch
14.00 – 14.45 Jens-Jakob Kratmann Nissen (QGM): TBA
14.45 – 15.15 Coffee/tea and cake in the QGM Lounge (1530-326)
15:30-16:30 Jürg Fröhlich (ETH Zürich): NIELSEN LECTURE The problem of dynamics in quantum theory
18.00 Cheese and wine in the Math Staff Lounge
Tuesday 11 June Location: Aud. F (1534-125)
10:00 Coffee/tea outside Auditorium F.
10.30 - 12.00 Site visit (in Aud. F)
12.00 - 12.45 Lunch in the canteen
12.45 – 16.10 Site visit (in Aud. F)
16:20 – 16:45 Panel meets with postdocs and PhD students (QGM Lounge, room 1530-326)
17:00 – 18:00 Seminar by Maxim Kontsevich (IHÉS) TBA
18:00- After-Site Visit Dinner in the MATH Staff Lounge
Wednesday 12 June Location: Aud. F (1534-125)
09.30 – 10.00 Coffee/tea
10.00 – 11.00 Nigel Hitchin (Oxford): G-Higgs bundles and mirror symmetry
11.30 - 12.30 Nicolai Reshetikhin (UC Berkeley): On quantum field theories for space times with boundary
12.30 - 14.00 Lunch
14.00 – 15.00 Vladimir Fock (Strasbourg): Cluster varieties from Thurston diagrams
15.00 – 15.30 Coffee/tea and cake in the QGM Lounge (1530-326)
Thursday 13 June Location: Kol-G3 (1532-218)
09.30 – 10.00 Coffee/tea and bread rolls in the QGM Lounge (1530-326)
10.00 – 10.45 Troels Bak Andersen(QGM): Finding the minimal number of generators of the defining ideal of fusion rings
11.15 - 12.00 Gus Schrader (Berkeley): TBA
12.00 - 14.00 Lunch
14.00 – 14.45 Shehryar Sikander (QGM): Quantum Lyapunov Exponents
14.45 – 15.15 Coffee/tea and cake in the QGM Lounge (1530-326)
15:30-16:30
Friday 14 June Location: Kol-G3 (1532-218)
09.30 – 10.00 Coffee/tea and bread rolls in the QGM Lounge (1530-326)
10.00 – 10.45 NN
11.15 - 12.00 Alexandru Chirvasitu (Berkeley): Free unitary groups and free fusion rings
12.00 - 14.00 Lunch
14.00 – 14.45 NN (QGM): TBA
14.45 – 15.15 Coffee/tea and cake in the QGM Lounge (1530-326)
Abstracts:
Jakob Blaavand (Oxford): An integrable system from doubly periodic instantons
Abstract: We will construct an algebraically completely integrable Hamiltonian system in the moduli space of doubly periodic instantons, by finding a Lagrangian fibration in the moduli space, where the base space is the space of spectral curves associated to holomorphic bundles, and the generic fibre is the Jacobian of the spectral curve in question.
Alexandru Chirvasitu (Berkeley): Free unitary groups and free fusion rings
Abstract: Compact quantum groups (cqgs) are generalizations, in the spirit of non-commutative geometry, of compact groups, and free unitary groups are for cqgs what unitary groups are for ordinary compact groups. I will explain how they are simple (once you mod out a center).
More generally, it turns out that cqgs whose Grothendieck (or fusion) rings of representations are "free" in a certain sense are always almost simple as above. This provides an easy way to show that known families of cqgs (e.g. hyperoctahedral ones, in addition to the free unitary groups mentiond before) are simple.