講座名稱：Space curves and solitons of the KP hierarchy

講座人：謝遠成

講座時間：7月16日10:00

講座地點：騰訊會議直播（ID：832 269 176）

講座人介紹：

謝遠成博士本科畢業(yè)于華中科技大學(xué)，2014年在北京大學(xué)獲得碩士學(xué)位，今年六月在俄亥俄州立大學(xué)獲得博士學(xué)位。目前的研究興趣為與可積系統(tǒng)相關(guān)的代數(shù)與幾何，特別是KP孤立波與奇異代數(shù)曲線之間的關(guān)系以及單李代數(shù)上的Toda系與旗流形間的關(guān)系。

講座內(nèi)容：

In this talk, I will associate a class of KP solitons with a family of singular space curves indexed by the numerical semigroups ?l,lm+1,?,lm+k?, m≥1, 1≤k≤l-1. Where 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 differential operators in the sense of the well-known Burchnall-Chaundy theory.

主辦單位：數(shù)學(xué)與統(tǒng)計學(xué)院