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| 2017-11-15
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CAS Key Laboratory of Theoretical Physics |
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Institute of Theoretical Physics |
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Chinese Academy of Sciences |
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Seminar |
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Title
题目 |
Painleve VI surfaces |
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Speaker
报告人 |
Prof. Robert Conte |
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Affiliation
所在单位 |
Ecole normale superieure de Cachan, CNRS, Universite Paris-Saclay, France, and Department of mathematics, The University of Hong Kong |
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Date
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2017年11月15日（周三）下午3：30 |
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Venue
地点 |
ITP New Building 6420 |
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Abstract
摘要 |
\def \PVI {{\rm P_{\rm VI}}} The surfaces built by Bonnet in 1867 are the first occurrence ever of the sixth Painleve equation $\PVI$. We extrapolate their moving frame to a new, second order, isomonodromic matrix Lax pair for $\PVI$, which is in some sense its natural Lax pair in CP^1$. Its elements depend rationally on the dependent variable and quadratically on the monodromy exponents $\theta_j$, while the one of Jimbo and Miwa is meromorphic in $\theta_\infty$. Moreover, this extrapolation lifts Bonnet surfaces to generalized surfaces which depend on two more degrees of freedom. arXiv:1710.04944 |
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Contact person
所内联系人 |
田矗舜 |
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