一、题目：Geometry of Discrete Integrable Systems

二、主讲人：Anton Dzhamay 教授

三、时间：2019年10月10日（周四），下午 14:30-15:30

四、地点：闻理园A4—305（学术报告厅）

报告摘要：

Many interesting examples of discrete integrable systems can be studied from the geometric point of view. In this talk we will consider two classes of examples of such system: autonomous (QRT maps) and non-autonomous (discrete Painlevé equations). We introduce some geometric tools to study such systems, such as the blowup procedure to construct algebraic surfaces on which the mappings are regularized, linearization of the mapping on the Picard lattice of the surface and, for discrete Painlevé equations, the decomposition of the Picard lattice into complementary pairs of the surface and symmetry sub-lattices and construction of a binational representation of affine Weyl symmetry groups that gives a complete algebraic description of our non-linear dynamic.

主讲人简介：

Anton Dzhamay is a professor at the University of North Colorado. He is a Graduate Faculty and Graduate Program Coordinator of School of Mathematical Sciences, College of Natural and Health Sciences. His main research interests are Continuous and discrete integrable systems, geometry of discrete integrable systems, Painlev and isomonodromic deformations, WDVV equations and Frobenius manifolds, algebraic geometry, mathematical physics. Professor Anton Dzhamay is currently Fellow of American Mathematical Society, Fellow of Society for Industry and Applied Mathematics, and Fellow of Mathematical Association of America.

欢迎广大师生参加！联系人：施英

太阳成集团tyc122cc/大数据学院

非线性分析研究所

2019年10月10日