講演タイトルと概要

阿部 拓 (岡山理科大学)

タイトル：Some computations in the cohomology of Peterson varieties

概要：The Peterson variety is defined to be a subvariety of the flag variety, and its cohomology rings have been studied in detail. In this talk, I will explain the construction of the Peterson-Schubert classes from a geometric view point, and I will explain an explicit series of computations for Peterson-Schubert classes.

石田 裕昭 (鹿児島大学)

タイトル：Double sided torus actions and complex geometry on SU(3)

概要：This is a joint work with Hisashi Kasuya. We construct explicit complex structures and transversely Kähler holomorphic foliations on SU(3) corresponding to variations of real quadratic equations on a complex quadric in C6 as generalizations of left-invariant complex structures on SU(3) and an invariant Kähler structure on the flag variety SU(3)/T. Consequently, we obtain orbifold variants of the flag variety SU(3)/T as quotients of double sided torus actions.

曾 昊智 (Huazhong University of Science and Technology)

タイトル：TBA

概要：TBA

堀口 達也 (大阪市立大学 数学研究所)

タイトル：Intersections of Peterson variety and Schubert varieties, and hyperplane arrangements

概要：I will talk about a recent development about the intersections of Peterson variety and Schubert varieties, and hyperplane arrangements.

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, III

概要：In the previous two meetings, we discussed the 2nd cohomology of a regular semisimple Hessenberg variety Hess(S,h) when Hess(S,h) is connected, in other words, when h(j)>j for j=1,.., n-1. In this talk, we consider its higher degree generalization. To be more precise, we discuss the 2p-th cohomology of Hess(S,h) for p \le d when h(j)>j+d-1 for j=1,.., n-d.