报告题目 (Title)：Painleve XXXIV asymptotics for the defocusing nonlinear Schrodinger equation with a finite-genus algebro-geometric background（代数几何解背景下散焦Schrodinger方程的潘勒韦34的渐近性）
报告人 (Speaker)：范恩贵 教授（复旦大学数学院）
报告时间 (Time)：2026年10月13日 ，19:00-20:30
报告地点 (Place)：腾讯会议 840430927
邀请人(Inviter)：夏铁成
报告摘要： We consider the Cauchy problem for the defocusing nonlinear Schrodinger (NLS) equation with algebro-geometric background. Based on a proposed Riemann-Hilbert representation of the Cauchy problem, with nonlinear steepest descent method and a double limit technique we derive the leading order approximation to the solution of the defocusing NLS equation in four space-time regions I---IV. Especially in the transitional regions I and II for the asymptotics, we find that the solution of the defocusing NLS equation can be described by the solution of Painleve XXXIV equation.