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An introduction to WKB analysis

Mercredi, 13 Octobre, 2010 - 12:00
Prénom de l'orateur: 
Yoko
Nom de l'orateur: 
Umeta
Résumé : 
The exact WKB analysis is a very effective method
in studying both linear and non-linear differential
equations which contain a large parameter in an appropriate
way. This talk consists of two parts.
In the first part, we will study the exact WKB analysis
introduced by Aoki-Kawai-Takei. In the second part,
we will discuss the construction of instanton-type
formal solutions of Painlevé hierarchy which play an
important role in description of the connection problems
of solutions.
Thème du groupe de travail: 
GT Analyse WKB et D-modules
Institution: 
Institut Fourier/Hokkaido University,
Salle: 
04
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