Speaker: Nantel Bergeron, distinguished professor, University of York

Date: April 15-16, 2025

Time: 9:00-10:30 am

Location: E119, Huagang East Building, Shandong University Qingdao Campus

Sponsor: Research Center for Mathematics and Interdisciplinary Sciences, Shandong University

Abstract:

We introduce equivariant quasisymmetry, a version of quasisymmetry for polynomials in two sets of variables. Using this definition we define double fundamental polynomials and double forest polynomials, a quasisymmetric generalizations of the theory of double Schur and double Schubert polynomials, where the subset of noncrossing permutations play the role of S_n. This combinatorics corresponds to the quasisymmetric flag variety, a new geometric construction which plays the role for equivariant quasisymmetry what the usual flag variety plays in the classical story.

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https://www.view.sdu.edu.cn/info/1020/200898.htm