报告题目： Space curves and solitons of the KP hierarchy

报告人： 谢远成

工作单位： 北京大学

报告时间：3月10日（周四）9:00-10:00

腾讯会议号：188377055

报告摘要：

Abstract: It is well known that algebro-geometric solutions of the KdV hierarchy are constructed from the Riemann theta (or Klein sigma) functions associated with hyperelliptic curves, and soliton solutions can be obtained by rational limits of the corresponding curves. In this talk, I will associate a class of KP solitons with a family of singular space curves indexed by a numerical semigroups. Some of these curves can be deformed into smooth “space curves”, and they provide canonical models for the l-th generalized KdV hierarchies (KdV hierarchy corresponds to the case l = 2). If time permits, we will also see how to construct the space curves from a commutative ring of difffferential operators in the sense of the well-known Burchnall-Chaundy theory. This is a joint work with Professor Yuji Kodama.

报告人简介：

Yuancheng Xie is currently a postdoc at BICMR, and he obtained his Ph.D. degree from The Ohio State University in 2021 under the guidance of Yuji Kodama. His current interests lie in integrable systems and related algebras and geometries.