講演タイトルと概要

阿部　拓 (岡山理科大学)

タイトル：Geometry of Peterson Schubert calculus

概要：Harada-Tymoczko constructed an additive basis of the cohomology ring of the Peterson variety by using Schubert classes for the flag variety. Computing the structure constants for this basis is called "Peterson Schubert calculus". I will explain a geometric background of Peterson Schubert calculus in Lie type A. This is joint work with Hideya Kuwata, Tatsuya Horiguchi, and Haozhi Zeng.

鍬田　英也 (近畿大学工業高等専門学校)

タイトル：Peterson Schubert calculus and combinatorial formula

概要：I will discuss a combinatorial viewpoint of Peterson Schubert calculus in Lie type A. This talk is a continuation of the talk of Hiraku Abe, and it is based on joint works with Hiraku Abe, Tatsuya Horiguchi, and Haozhi Zeng.

曾　昊智 (Huazhong University of Science and Technology)

タイトル：A new basis of left weak quasi-symmetric functions

概要：The concept of left weak quasi-symmetric functions which is a generalization of quasi-symmetric functions introduced by Li Guo, Houyi Yu and Jinqiang Zhao. For quasi-symmetric functions there are some well-known basis. In this talk we will discuss a new basis of left weak quasi-symmetric functions. This is joint work with Bin Zhang in progress.

堀口　達也 (大阪市立大学 数学研究所)

タイトル：Mixed Eulerian numbers and Peterson Schubert calculus

概要：I will explain a relation between mixed Eulerian numbers and Peterson Schubert calculus.

枡田　幹也 (大阪市立大学 数学研究所)

タイトル：Regular semisimple Hessenberg varieties whose cohomology rings are generated by degree two elements

概要：I will discuss when H^*(Hess(S,h)) is generated by H^2(Hess(S,h)) as a ring. This is joint work with Takashi Sato in progress.