報告題目：From the $B$-Toda to the BKP hierarchy
報 告 人：謝遠成博士 北京國際數學研究中心
報告時間：2023年6月19日 20:00-21:00；
報告地點：騰訊會議ID：647-338-375
校内聯系人：唐榮 tangrong@jlu.edu.cn
報告摘要：In this talk we will show that all $\tau$-functions of BKP hierarchy can be written as Pfaffians of skew-symmetric matrices. $\tau$-functions of BKP hierarchy are parameterized by points in the universal orthogonal Grassmannian manifold (UOGM). The UOGM is a disjoint union of Schubert cells, we classify and give explicit parameterization for points in each Schubert cell by constructing a frame for UOGM in the sense of Sato. $\tau$-functions are then expressed in terms of these frames and Schur-Q functions. This talk is based on a recent preprint arXiv:2210.03307.
報告人簡介：Yuancheng Xie is currently a postdoc at BICMR, and he obtained his Ph.D. degree from The Ohio State University in 2021 under the guidance of Yuji Kodama. His current interests lie in integrable systems and related algebras and geometries.
