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| 2017-11-15
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| CAS Key Laboratory of Theoretical Physics | | Institute of Theoretical Physics | | Chinese Academy of Sciences | | Seminar | | Title 题目 | Painleve VI surfaces | | Speaker 报告人 | Prof. Robert Conte | | Affiliation 所在单位 | Ecole normale superieure de Cachan, CNRS, Universite Paris-Saclay, France, and Department of mathematics, The University of Hong Kong | | Date 日期 | 2017年11月15日（周三）下午3：30 | | Venue 地点 | ITP New Building 6420 | | 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 | | Contact person 所内联系人 | 田矗舜 |
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