Hypergeometry, Integrability and Lie Theory
- Online -
7 - 11 December 2020
Venue: Lorentz Center@Oort
If you are invited or already registered for this workshop, you have received login details by email.If you would like to participate in the workshop on Hypergeometry, Integrability and Lie Theory, please contact Michelle Grandia
Some very important developments that took place recently at the interface between representation theory, analysis and mathematical physics. Many new important results are obtained recently concerning algebra coideals in quantum groups, vector-valued Harish-Chandra series, boundary Knizhnik-Zamolodchikov type equations, matrix-valued spherical functions for symmetric spaces and related classical and quantum integrable systems.
One of the main aims of the workshop is to identify open problem to share the expertise and most recent developments in these areas. The goal is to foster the collaboration between experts in different areas and between younger and more senior researchers. The main focus of the workshop is to advance the research in hypergeometric type functions, representation theory, quantum integrable systems and other related areas.
Monday 7 December - Times shown in CET
Theme: Hypergeometric functions and representation theory
Moderator: Hjalmar Rosengren
| 14:30 | 14:45 | Opening of the workshop | |
| 14:45 | 15:00 | Introduction to the theme by moderator | |
| 15:00 | 16:00 | Margit Roesler - Hypergeometric functions associated with root systems: Some interrelations |
|
| 16:00 | 16:10 | Short break |
|
| 16:10 | 17:10 | Catharina Stroppel - Verlinde rings and DAHA actions |
|
| 17:00 | 18:30 | Break |
|
| 18:30 | 19:30 | Ivan Cherednik - Spinor Dunkl eigenvalue problem and Covid-19 |
|
| 19:30 | 20:10 | Short break |
|
| 20:10 | 21:10 | Pavel Etingof - Twisted traces and positive forms on quantized Kleinian singularities of type A |
|
| 21:10 | 21:40 | Concluding session chaired by moderator |
Tuesday 8 December - Times shown in CET
Theme: Symmetric spaces and coideal subalgebras
Moderator: Tom Koornwinder
| 14:45 | 15:00 | Introduction to the theme by moderator | |
| 15:00 | 16:00 | Stefan Kolb - Quantum symmetric pairs via star products |
|
| 16:00 | 16:10 | Short break |
|
| 16:10 | 17:10 | Eric Opdam - On square integrable hypergeometric functions for root systems |
|
| 17:00 | 19:00 | Break | |
| 19:00 | 20:00 | Gail Letzter - Reflections on the algebra of quantum symmetric pairs |
|
| 20:00 | 20:10 | Short break |
|
| 20:10 | 21:10 | Siddhartha Sahi - Positivity of interpolation polynomials |
|
| 21:10 | 21:40 | Concluding session chaired by moderator |
Wednesday 9 December - Times shown in CET
Theme: Coideal subalgebras and integrable spin chains
Moderator: Christian Korff
| 14:45 | 15:45 | Poster session |
|
| 15:45 | 16:00 | Introduction to the theme by moderator | |
| 16:00 | 17:00 | Bernard Nienhuis - Conserved quantities in the closed XXZ chain |
|
| 17:00 | 17:30 | Wine and Cheese party | |
| 17:30 | 19:00 | Break | |
| 19:00 | 20:00 | Robert Weston - Q operators for open spin chains: part II* |
|
| 20:00 | 20:10 | Short break |
|
| 20:10 | 21:10 | Jan de Gier - Multi-variable polynomials and exclusion processes |
|
| 21:10 | 21:40 | Concluding session chaired by moderator |
Thursday 10 December - Times shown in CET
Theme: Special functions and integrable systems
Moderator: Simon Ruijsenaars
| 14:45 | 15:00 | Introduction to the theme by moderator | |
| 15:00 | 16:00 | Marta Mazzocco - Quantum uniformisation and CY algebras |
|
| 16:00 | 16:10 | Short break |
|
| 16:10 | 17:10 | Masatoshi Noumi - Eigenfunctions for the elliptic Ruijsenaars operators |
|
| 17:00 | 19:00 | Break | |
| 19:00 | 20:00 | Volker Schomerus - Conformal Hypergeometry and Integrability |
|
| 20:00 | 20:10 | Short break |
|
| 20:10 | 21:10 | Paul Zinn -Justin - Quantum Knizhnik--Zamolodchikov equation, pipe dreams and all that |
|
| 21:00 | 21:10 | Short break |
|
| 21:10 | 21:40 | Concluding session chaired by moderator |
Friday 11 December - Times shown in CET
Theme: Interactions
Moderator: Milen Yakimov
| 14:45 | 15:00 | Introduction to the theme by moderator | |
| 15:00 | 16:00 | Bart Vlaar - Universal k-matrices for affine quantum symmestic pairs |
|
| 16:00 | 16:10 | Short break |
|
| 16:10 | 17:10 | Yuri Berest - Quasi-invariants of finite reflection groups and homotopy Lie groups |
|
| 17:00 | 19:00 | Break | |
| 19:00 | 20:00 | Alexander Varchenko - The F_p-Selberg Integral |
|
| 20:00 | 20:10 | Short break |
|
| 20:10 | 21:10 | Eric Rains - Elliptic double affine Hecke algebras |
|
| 21:10 | 21:40 | Concluding session chaired by moderator |
|
| 21:40 | 21:45 | Closure of the workshop |
