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.