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Семинар Лаборатории алгебраической геометрии и ее приложений
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[Halphen equations revisited] J. C. Rebelo Тулузский университет |
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Аннотация: Halphen vector fields appear in a number of situations in Mathematics, including reductions of Yang-Mills equations (Atiyah-Hitchin) and number theory (P,Q,R-functions of Ramanujan). The dynamics/geometry associated to these equations was first clarified in a beautiful work of Guillot from about 2003. The purpose of this talk will be to sketch a slightly different geometric point of view concerning these equations that allows us to obtain some additional results, including a sharp description of Malgrange (pseudo-)group and a theory of confluence paralleling the case of the hypergeometric equation. If time permits, some extensions of these equations may also be discussed. What precedes sits inside a joint project with J.-P. Ramis and E. Paul. Язык доклада: английский |
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