首 页机构概况机构设置科研人才队伍合作交流研究生教育博士后图书馆创新文化党群园地院重点实验室彭桓武中心信息公开
  学术活动
  您现在的位置:首页 > 学术活动 > 专题学术报告/Seminar
Painleve VI surfaces
2017-11-15  【 】【打印】【关闭

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
IE6.0浏览器,1024X768分辨率 版权所有 © 中国科学院理论物理研究所
地址:北京市海淀区中关村东路55号 邮政编码:100190
京ICP备05002865号】 京公网安备1101080094号