# Workshop Programme

## for period 11-15 September

### Painleve Equations and Monodromy Problems: An Introduction

11-15 September

Timetable

Monday 11 September | ||

08:30-09:45 | Registration | PEM |

09:45-10:00 | PEM | |

Opening | Sem 1 | |

10:00-11:00 | Okamoto, K (Tokyo) |
PEM |

Introduction to the Painlev\'e equations | Sem 1 | |

11:00-11:30 | Coffee | PEM |

11:30-12:30 | Umemura, H (Nagoya) |
PEM |

Differential Galois theory and the Painlev\'e equations | Sem 1 | |

12:30-13:30 | Lunch at Wolfson Court | PEM |

14:00-15:00 | Okamoto, K (Tokyo) |
PEM |

Introduction to the Painlev\'e equations II | Sem 1 | |

15:00-15:30 | Tea | PEM |

15:30-16:30 | Joshi, N (Sydney) |
PEM |

Asymptotics of Painlev\'e equations | Sem 1 | |

16:30-17:30 | Nijhoff, F (Leeds) |
PEM |

Integrable lattics and discrete Painlev\'e equations | 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 12 September | ||

09:00-10:00 | Okamoto, K (Tokyo) |
PEM |

Introduction to the Painlev\'e equations III | Sem 1 | |

10:00-11:00 | Umemura, H (Nagoya) |
PEM |

Differential Galois theory and the Painlev\'e equations II | Sem 1 | |

11:00-11:30 | Coffee | PEM |

11:30-12:00 | Lievens, S (Ghent) |
PEM |

Symmetry groups underlying Bailey's transfomations for $^{10}\phi^9$ series | Sem 1 | |

12:00-12:30 | Papageorgiou, V (Patras) |
PEM |

Yang-Baxter maps and integrable difference equations | Sem 1 | |

12:30-13:30 | Lunch at Wolfson Court | PEM |

14:00-15:00 | Okamoto, K (Tokyo) |
PEM |

Introduction to the Painlev\'e equations IV | Sem 1 | |

15:00-15:30 | Tea | PEM |

15:30-16:30 | Joshi, N (Sydney) |
PEM |

Asymptotics of Painlev\'e equations II | Sem 1 | |

16:30-17:30 | Nijhoff, F (Leeds) |
PEM |

Discrete Painlev\'e equations II | Sem 1 | |

18:30-19:30 | Dinner at Selwyn College (Residents only) | PEM |

Wednesday 13 September | ||

09:00-10:00 | Keating, J (Bristol) |
PEM |

Random matrices and Painlev\'e equations | Sem 1 | |

10:00-11:00 | Umemura, H (Nagoya) |
PEM |

Differential Galois theory and the Painlev\'e equations III | Sem 1 | |

11:00-11:30 | Coffee | PEM |

11:30-12:00 | Tsuda, T (Kobe) |
PEM |

Tropical representation of Weyl groups associated with certain rational varieties | Sem 1 | |

12:00-12:30 | Tongas, A (Patras) |
PEM |

Symmetries and group invariant reductions of integrable equations on quad-graphs to discrete Painlev\'e equations | Sem 1 | |

12:30-13:30 | Lunch at Wolfson Court | PEM |

14:00-15:00 | Ohyama, Y (Osaka) |
PEM |

Special solutions of the Painleve equations: P1 to P5 | Sem 1 | |

15:00-15:30 | Tea | PEM |

15:30-17:30 | Informal discussions | PEM |

18:30-19:30 | Dinner at Selwyn College (Residents only) | PEM |

Thursday 14 September | ||

09:00-10:00 | Fokas, T (Cambridge) |
PEM |

Riemann-Hilbert problems | Sem 1 | |

10:00-11:00 | Umemura, H (Nagoya) |
PEM |

Differential Galois theory and the Painlev\'e equations IV | Sem 1 | |

11:00-11:30 | Coffee | PEM |

11:30-12:00 | Casale, G (Tokyo) |
PEM |

Local irreducibility of the first Painlev\'e equation | Sem 1 | |

12:00-12:30 | Duits, M (Leuven) |
PEM |

Painlev\'e I asymptotics for orthogonal polynomials with respect to a varying quartic weight | Sem 1 | |

12:30-13:30 | Lunch at Wolfson Court | PEM |

14:00-15:00 | Keating, J (Bristol) |
PEM |

Random matrices and Painlev\'e equations II | Sem 1 | |

15:00-15:30 | Tea | PEM |

15:30-16:30 | Mazzocco, M (Manchester) |
PEM |

Hamiltonian structure of the Painlev\'e equations | Sem 1 | |

16:30-17:30 | Boalch, P (ENS Paris) |
PEM |

Algebraic solutions of the Painlev\'e equations | Sem 1 | |

19:30-18:00 | Conference Dinner in the Hall at Magdalene College | PEM |

Friday 15 September | ||

09:00-10:00 | Fokas, T (Cambridge) |
PEM |

Riemann-Hilbert problems II | Sem 1 | |

10:00-11:00 | Ohyama, Y (Osaka) |
PEM |

Classical solutions on the Painlev\'e equations: from PII to PV II | Sem 1 | |

11:00-11:30 | Coffee | PEM |

11:30-12:00 | Claeys, T (Leuven) |
PEM |

A real pole-free solution of the 4th order analogue of the Painlev\'e I equation and critical edge points in random matrix ensembles | Sem 1 | |

12:00-12:30 | Filipuk, G (Kumamoto) |
PEM |

On the middle convolution for Fuschian systems | Sem 1 | |

12:30-13:30 | Lunch at Wolfson Court | PEM |

14:00-15:00 | Mazzocco, M (Manchester) |
PEM |

Hamiltonian structure of the Painlev\'e equations II | Sem 1 | |

15:00-15:30 | Tea | PEM |

15:30-16:30 | Boalch, P (ENS Paris) |
PEM |

Algebraic solutions of the Painlev\'e equations II | 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 |