Speaker: Tao Gui, professor, postdoctoral fellow, Beijing International Center for Mathematical Research(BICMR)

Date: May 17, 2024

Time: 14:30-15:30

Location: E119, Huagangyuan Building, Qingdao Campus

Sponsor: Frontiers Science Center for Nonlinear Expectations, Shandong University; Research Centre for Mathematics and Interdisciplinary Sciences Centre, Shandong University; Sino-Russian Mathematics Center in Qingdao

Abstract:

Immanants serve as natural generalizations of determinants and permanants. Haiman revealed a deep connection between immanant inequality of Jacobi-Trudi matrices (the original form of the Stanley--Stembridge conjecture) and Hecke algebra characters using the Kazhdan-Lusztig theory. We will explain this relation and finish our discussion with Haiman’s conjecture, which implies the Shareshian--Wachs conjecture and, consequently, the Stanley-Stembridge conjecture.

For more information, please visit:

https://www.view.sdu.edu.cn/info/1020/191159.htm