报告一：
【报告题目】On integrability of the $q$-difference two-dimensional Toda lattice equation
【报 告 人】李春霞教授，首都师范大学
【报告时间】11月3日下午1:30-2:30
【腾讯会议号】898 303 564
【报告摘要】As important extensions of the classical integrable systems, $q$-difference integrable systems are of great research interest. For the bilinear q-difference two-dimensional Toda lattice equation which can be reduced to the well-known two-dimensional Toda lattice equation by taking the continuum limit $q->0$, Ohta etc. considered its Wronskian-type determinant solutions by using the bilinear method. However, other important integrable properties remain unknown. Recently, we managed to derive its Lax pair, construct its Wronskian-type determinant solutions by Darboux transformation, and Grammian-type determinant solutions expressed in terms of quantum integrals by binary Darboux transformation. In addition, we obtained Wronskian-type determinant solutions and Grammian-type determinant solutions to the bilinear Backlund transformation for the bilinear q-difference two-dimensional Toda lattice equation as well. In fact, as parts of the Darboux transformation and binary Darboux transformation, we found that the $N$-step iterations of eigenfunctions give nothing but two types of solutions to the bilinear Backlund transformation, respectively.
报告二：
【报告题目】Dbar-穿衣法在矩阵NLS和导数NLS系统中的应用
【报 告 人】姚玉芹教授，中国农业大学
【报告时间】11月3日下午2:30-3:30
【腾讯会议号】898 303 564
【报告摘要】首先，基于矩阵Dbar-方程，我们导出矩阵NLS方程和带非零边界条件的导数NLS方程，并利用Dbar-问题得到相应的Lax对。然后，利用Cauchy矩阵的性质，得到相应系统的孤子解、呼吸子解及呼吸子与孤子的相互作用。
【邀请人】林机 教授
欢迎各位老师和同学参加！
