Workshop on the differential and difference equations in the complex domain
10 - 13 September, 2012, Warsaw
The goal of the workshop is to bring together the leading experts in the theory of differential and difference
equations in the complex domain, to exchange their recent results and coordinate future research.
It is expected that this workshop will be an excellent opportunity to continue existing and start new collaboration
between mathematicians from France, Poland and other countries.
Main topics:
1. Formal and analytic solutions of differential, difference and q-difference
equations: Gevrey order, Borel summability, asymptotic expansion, small divisor and Stokes phenomena.
2. Ordinary differential equations in the complex domain: Painlevé equations,
movable singularities, WKB methods for monodromy problems, orthogonal polynomials,
integral representation of solutions.
Organizing Committee
- Grzegorz Łysik (Polish Academy of Sciences)
- Stephane Malek (University of Lille)
- Sławomir Michalik (Polish Academy of Sciences)
Programme
| Monday, 10th of Septembery, room 403 |
|
| 10:00 - 10:50 | Werner Balser: Okubo's hypergeometric system |
| Coffee break | |
| 11:20 - 12:10 | Renat Gontsov: Holomorphic vector boundles with meromorphic connections and triangular linear differential systems |
| Lunch break | |
| 15:00 - 15:50 | Anastasia Parusnikova: Asymptotic forms and asymptotic expansions of solutions to the fifth Painleve equation |
| Coffee break | |
| 16:20 - 17:10 | Ilya Vyugin: Isomonodromic confluence of singularities and solutions of fifth and sixth Painleve equations |
| Tuesday, 11th of September, room 403 | |
| 9:30 - 10:20 | Sławomir Michalik: Summability of formal solutions of linear PDEs with divergent initial data |
| Coffee break | |
| 10:50 - 11:40 | Marc Huttner: Riemann P-scheme, monodromy and diophantine approximations |
| 12:00 - 12:50 | Laura Desideri: Describing minimal surfaces using isomonodromic deformations |
| Lunch break | |
| 15:00 - 15:50 | Irina Goryuchkina: Nonformal solutions to an ODE |
| Coffee Break | |
| 16:20 - 17:10 | Galina Filipuk: Time scales and orthogonal polynomials |
| Wednesday, 12th of September, room 403 | |
| 9:30 - 10:20 | Boele Braaksma: Local Stokes phenomenon of a system of ODE's with 2 levels |
| Coffee break | |
| 10:50 - 11:40 | Jorge Mozo Fernandez: On polynomial asymptotics and Ramis-Sibuya theorem |
| 12:00 - 12:50 | Javier Sanz: Summability in ultraholomorphic classes |
| Lunch break | |
| 15:00 - 15:50 | Stephane Malek: On the parametric Stokes phenomenon for singularly perturbed linear PDE |
| Coffee break | |
| 16:20 - 17:10 | Alberto Lastra: On singularly perturbed q-difference-differential problems with an irregular singularity |
| Thursday, 13th of September, room 403 | |
| 9:30 - 10:20 | Michał Zakrzewski: GKZ, GG and GK systems and multiple zeta values |
| Coffee break | |
| 10:50 - 11:40 | Yuliya Bibilo: On the isomonodromic deformations of linear systems of ODEs with resonant irregular singularities |
| 12:00 -12:50 | Grzegorz Łysik: Analytic solutions of heat equations with variable coeffcients |
| Lunch break | |
| 15:00 - 19:00 | Warsaw sightseeing |
Participants
- Werner Balser (University of Ulm)
- Yulia Bibilo (Russian Academy of Sciences, Moscow)
- Boele Braaksma (University of Groningen)
- Laura Desideri (University of Lille)
- Galina Filipuk (University of Warsaw)
- Renat Gontsov (Russian Academy of Sciences, Moscow)
- Irina Goryuchkina (Russian Academy of Sciences, Moscow)
- Marc Huttner (University of Lille)
- Alberto Lastra (University of Lille)
- Grzegorz Łysik (Polish Academy of Sciences, Warsaw)
- Stephane Malek (University of Lille)
- Sławomir Michalik (Polish Academy of Sciences, Warsaw)
- Jorge Mozo-Fernandez (University of Valladolid)
- Anastasia Parusnikova (HSE MIEM, Moscow)
- Javier Sanz (University of Valladolid)
- Ilia Vyugin (Russian Academy of Sciences, Moscow)
- Michał Zakrzewski (Jan Kochanowski University, Kielce)
- Henryk Żołądek (University of Warsaw)