01-28【耿献国】腾讯会议“可积系统与几何”联合学术报告

发布者:万宏艳发布时间:2021-01-25浏览次数:191

报告题目:Algebro-geometric solutions of the Belov-Chaltikian lattice hierarchy


报告人:耿献国,郑州大学



报告时间:2021年1月28日(周四)14:00—15:00  


腾讯线上会议号:727 1578 6336



摘要:On the basis of the characteristic polynomials of Lax matrixes for the Belov-Chaltikian lattice hierarchy, we introduce the corresponding trigonal curve. We study the calculation of genus of the algebraic curve, its properties at infinity, and the construction of three kinds of Abel differentials. We establish the corresponding Baker-Akhiezer functions and meromorphic functions. The straightening out of various soliton flows is exactly given through the Abel map and Abel-Jacobi coordinates. Using the theory of algebraic curves, we obtain algebro-geometric solutions of the Belov-Chaltikian lattice hierarchy.