Workshop Programme
for period 18-22 September
Painleve Equations and Monodromy Problems: Recent Developments
18-22 September
Timetable
| Monday 18 September | ||
| 08:30-09:45 | Registration | PEM |
| 09:45-10:00 | Opening | PEM |
| 10:00-11:00 | Bobenko, A (Berlin) | PEM |
| Linear and nonlinear theories of discrete analytic functions. Integrable structure and isomonodromic Green's function | Sem 1 | |
| 11:00-11:30 | Coffee | PEM |
| 11:30-12:30 | Noumi, M (Kobe) | PEM |
| Painleve systems arising from integrable hierarchies | Sem 1 | |
| 12:30-13:30 | Lunch at Wolfson Court | PEM |
| 14:00-15:00 | Sakai, H (Tokyo) | PEM |
| Rational surfaces and discrete Painlev\'e equations | Sem 1 | |
| 15:00-15:30 | Tea | PEM |
| 15:30-16:30 | Halburd, R (Loughborough) | PEM |
| Diophantine integrability | Sem 1 | |
| 16:30-17:30 | Van Assche, W (Leuven) | PEM |
| Discrete Painleve equations for recurrence coefficients of orthogonal polynomials | Sem 1 | |
| 17:30-18:15 | Wine and beer reception and poster session | PEM |
| 18:30-19:30 | Dinner at Selwyn College (Residents only) | PEM |
| Tuesday 19 September | ||
| 09:00-10:00 | van Moerbeke, P (Louvain) | PEM |
| Critical infinite-dimensional diffusions and non-linear equations for their transition probabilities | Sem 1 | |
| 10:00-11:00 | Kuijlaars, A (Leuven) | PEM |
| Universality of Painleve functions in random matrix models | Sem 1 | |
| 11:00-11:30 | Coffee | PEM |
| 11:30-12:00 | Klein, C (Leipzig) | PEM |
| Dissipationless shocks and Painleve equations | Sem 1 | |
| 12:00-12:30 | Korhonen, R (Joensuu) | PEM |
| Finite order meromorphic solutions and the discrete Painleve equations | Sem 1 | |
| 12:30-13:30 | Lunch at Wolfson Court | PEM |
| 14:00-15:00 | Laine, I (Joensuu) | PEM |
| Value distribution of solutions of Painleve differential equations | Sem 1 | |
| 15:00-15:30 | Tea | PEM |
| 15:30-16:30 | Shimomura, S (Keio) | PEM |
| A family solutions of a degenerate Garnier system near a singularity | Sem 1 | |
| 16:30-17:30 | Iwasaki, K (Kyushu) | PEM |
| The sixth Painleve equation: a chaotic dynamical system | Sem 1 | |
| 18:30-19:30 | Dinner at Selwyn College (Residents only) | PEM |
| Wednesday 20 September | ||
| 09:00-10:00 | Doyon, B (Oxford) | PEM |
| Solving Painleve connection problems using 2-dimensional integrable quantum field theory | Sem 1 | |
| 10:00-11:00 | Korotkin, D (Concordia) | PEM |
| Bergman tau-function and determinants of Laplacians in flat conical metrics over Riemann surfaces | Sem 1 | |
| 11:00-11:30 | Coffee | PEM |
| 11:30-12:00 | Murata, Y (Nagasaki) | PEM |
| On matrix Painlev\'e equations | Sem 1 | |
| 12:00-12:30 | TBA | PEM |
| 12:30-13:30 | Lunch at Wolfson Court | PEM |
| 14:00-15:00 | Informal discussions | PEM |
| 15:00-15:30 | Tea | PEM |
| 15:30-17:30 | Informal discussions | PEM |
| 18:30-19:30 | Dinner at Selwyn College (Residents only) | PEM |
| Friday 22 September | ||
| 09:00-10:00 | Dubrovin, B (SISSA-ISAS) | PEM |
| On oscillatory behaviour in PDEs and certain Painleve'-type transcendents | Sem 1 | |
| 10:00-11:00 | Malgrange, B (Institut Fourier) | PEM |
| Non-linear differential Galois theory | Sem 1 | |
| 11:00-11:30 | Coffee | PEM |
| 11:30-12:00 | Kakei, S (Tokyo) | PEM |
| From the KP hierarchy to the Painlev\'e equations | Sem 1 | |
| 12:00-12:30 | Shramchenko, V (Oxford) | PEM |
| Riemann-Hilbert problems associated with Hurwitz Frobenious manifolds | Sem 1 | |
| 12:30-13:30 | Lunch at Wolfson Court | PEM |
| 14:00-15:00 | Strachan, I (Glasgow) | PEM |
| Two constructions for the isomonodromic tau-functions | Sem 1 | |
| 15:00-15:30 | Tea | PEM |
| 15:30-16:30 | Veselov, A (Loughborough) | PEM |
| Monodromy-free Schrodinger equations and Painlev\'e transcendents | Sem 1 | |
| 16:30-16:45 | Closing | PEM |
| 18:30-19:30 | Dinner at Selwyn College (Residents only) | PEM |
| Other Seminars |
|
Seminars in the University National and International Scientific Research Meetings |