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

报告人：谢远成 博士  北京国际数学研究中心

报告摘要：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 family of singular space curves indexed by the numerical semigroups  where  and  with a class of KP solitons. Some of these curves can be deformed into smooth “space curves”, and they provide canonical models for the -th generalized KdV hierarchies (KdV hierarchy corresponds to the case = 2). If time permits, we will also see how to construct the space curves from a commutative ring of differential operators in the sense of the well-known Burchnall-Chaundy theory.

This is a joint work with Professor Yuji Kodama.

时间：2022年8月6日（星期六）上午9:00 --- 10:00

腾讯会议：285-133-430