| 18th (Mon) | |
| 10:00--11:00 | Alexander Bobenko (Berlin)
"Linear and nonlinear theories of discrete analytic functions. Integrable structure and isomonodromic Green's function" |
| 11:30--11:30 | Coffee |
| 11:30--12:30 | Frank Nijhoff (Leeds)
TBA |
| 14:00--15:00 | Hidetaka Sakai (Tokyo)
TBA |
| 15:30--16:30 | Rod Halburd (Loughborough)
"Diophantine Integrability" |
| 16:30--17:30 | Walter Van Assche (Leuven)
"Discrete Painlevé equations for recurrence coefficients of orthogonal polynomials" |
| 18:00--19:00 | Wine reception and poster session |
| 19th (Tue) | |
| 09:00--10:00 | Pierre van Moerbeke (Louvain)
"Critical infinite-dimensional diffusions and non-linear equations for their transition probabilities" |
| 10:00--11:00 | Arno Kuijlaars (Leuven)
"Universality of Painlevé functions in random matrix models" |
| 11:30--11:30 | Coffee |
| 11:30--12:30 | Contributed talks I |
| 14:00--15:00 | Ilpo Laine (Joensuu)
"Value distribution of solutions of Painlevˇe differential equations" |
| 15:30--16:30 | Shun Shimomura (Keio)
"A family of solutions of a degenerate Garnier system near a singularity" |
| 16:30--17:30 | Katsunori Iwasaki (Kyushu)
"The sixth Painlevé equation: moduli spaces, singularities, and dynamical systems" |
| 20th (Wed) | |
| 09:00--10:00 | Benjamin Doyon (Oxford)
"Solving Painleve connection problems using 2-dimensional integrable quantum field theory" |
| 10:00--11:00 | Jean-Pierre Ramis (Toulouse)
"Wild fundamental groups for linear differential and q-difference equations: a parallelism" |
| 11:30--11:30 | Coffee |
| 11:30--12:30 | Contributed talks II |
| 14:00--17:00 | Informal discussions |
| 21st (Thu) | |
| 09:00--10:00 | John Harnad (Montreal)
"Isomonodromic deformation equations, R-matrix theory and duality" |
| 10:00--11:00 | Peter Clarkson (Kent)
"Rational solutions and associated special polynomials associated for the Painlevé equations" |
| 11:30--11:30 | Coffee |
| 11:30--12:30 | Contributed talks III |
| 14:00--15:00 | Dimitri Korotkin (Concordia)
"Bergman tau-function and determinants of Laplacians in flat conical metrics over Riemann surfaces" |
| 15:30--16:30 | Marta Mazzocco (Manchester)
"The Hamiltonian structure of the second Painlevé hierarchy" |
| 16:30--17:30 | Nick Woodhouse (Oxford)
"Twistors and monodromy" |
| 19:30-- | Conference dinner (Old Library, Emmanuel College) |
| 22nd (Fri) | |
| 09:00--10:00 | Boris Dubrovin (SISSA)
TBA |
| 10:00--11:00 | Bernard Mangrange (Grenoble)
"Non-linear differential Galois theory" |
| 11:30--11:30 | Coffee |
| 11:30--12:30 | Contributed talks IV |
| 14:00--15:00 | Masatoshi Noumi (Kobe)
"Painlevé systems arising from integrable hierarchies" |
| 15:30--16:30 | Alexander Veselov (Loughborough)
"Monodromy-free Schrödinger equations and Painlevé transcendents" |
| 16:30--16:45 | Closing |
| 09:00-10:00 | 10:00-11:00 | 11:30-12:30 | 14:00-15:00 | 15:30-16:30 | 16:30-17:30 | |
| 18th | A. Bobenko | F. Niihoff | H. Sakai | R. Halburd | W. Van Assche | |
| 19th | P. van Moerbeke | A. Kuijlaars | Talks | I. Laine | S. Shimomura | K. Iwasaki |
| 20th | B. Doyon | J.-P. Ramis | Talks II | Y. Ohyama | Discuss | |
| 21st | J. Harnad | P. Clarkson | Talks III | D. Korotkin | M. Mazzocco | N. Woodhouse |
| 22nd | B. Dubrovin | B. Mangrange | Talks IV | M. Noumi | A. Veselov |
* 18th 8:30--09:45: Registration
Contributed talks (30 minutes)
Misha Feigin (Glasgow) Degenerate Gaussian Unitary ensembles and Painlevé IV Saburo Kakei (Tokyo) From the KP hierarchy to the Painlevé equations Hironobu Kimura (Kumamoto) Degeneration and symmetry of the Schlesinger system from the point of view of Twistor theory Christian Klein (Leipzig) Dissipationless shocks and Painlevé equations Risto Korhonen (Joensuu) Finite order meromorphic solutions and the discrete Painlevé equations Yoshihiro Murata (Nagasaki) On matrix Painlevé equations Vasilisa Shramchenko (Oxford) Riemann-Hilbert problems associated with Hurwitz Frobenious manifolds Mo Man Yue (Montreal) The Riemann-Hilbert approach to the asymptotics of isomonodromic problems
Poster session
[1] for the first week, [2] for the second week.
Duits, M [2] Painlevé I asymptotics for orthogonal polynomials with respect to a varying quartic weight Grahovski, G [2] New integrable multi-component NLS type equations on symmetric spaces Gromak, V [1][2] On properties of the higher order Painleve equations Kaneko, K [1][2] Painleve VI transcendents which are meromorphic at a fixed singularity Kikuchi, T [1][2] A q-analogue of gl_3 hierarchy and q-Painleve VI Lisovyy, O [1][2] Aharonov-Bohm scattering on the poincare disk and the Painleve VI equation Mano, T [2] Monodromy preserving deformations of the linear differential equations on elliptic curves and the sixth Painleve equation Matsuda, K [1][2] Tau function in the confluent case Morgan, W [2] Diophantine integrability and the QRT map Murata, M [1][2] Two-component soliton systems and the Painleve equations Nagoya, H [1][2] Quantum Painleve systems Okumura, S [1][2] Symmetric solutions of the Painleve equations and mod three reduction Sasaki, Y [2] Value distribution of the fifth Painleve transcendents Suzuki, M [1][2] Spaces of initial conditions of Garnier system and its degenerate systems in two variables Suzuki, T [2] Coupled Painlevé VI system arising from Drinfeld-Sokolov hierarchy (joint work with K. Fuji) Tahara, N [1] A Symmetries and group invariant reductions of integrable equations on quadgraphs to discrete Painlevé equations Takenawa, T [2] Integrability of discrete dynamical systems from the point of view of algebraic varieties Tongas, A [1] Symmetries and group invariant reductions of integrable equations on quadgraphs to discrete Painleve equations Treharne, P [1] Reduction of the associated scattering problem for the resonant three wave interaction system to an associated monodromy problem for the fifth Painleve equation
The first workshop
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