08-10【程纪鹏】腾讯会议“可积系统与几何”联合学术报告

发布者:卢珊珊发布时间:2021-08-05浏览次数:10

题目: The Lax structure of the extended D-Toda hierarchy


报告人: 程纪鹏 副教授,中国矿业大学(徐州)



时间:2021年8月10日(周二)下午2:00-3:30


腾讯会议 ID:572 283 2445 ,会议密码:123456


摘要: In this lecture, the Lax structure of the extended D-Toda hierarchy will be given. Firstly, we consider the decomposition of the Casimir operator of $\hat {so}_{2n}(C)$ under the fermionic representation corresponding to the conjugacy class $[n-2,\bar 1,\bar 1]$ in the Weyl group of so_{2n}(C). Then based upon this, the Kac- Wakimoto hierarchy of D type is obtained in the form of Hirota bilinear equations, which is called the D-Toda hierarchy. Next, we use Shiota's method to construct the corresponding Lax structures. At last, we introduce the extended flow corresponding to the logarithm of difference operator.