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Jongbaek Song, Regular Hessenberg Varieties and Toric Varieties

January 27 @ 11:00 am - 12:00 pm KST



A Hessenberg variety is a subvariety of the flag variety (G/B) determined by two parameters: one is an element of the Lie algebra of G and the other is a B-submodule containing the Lie algebra of B, known as a Hessenberg space. In this talk, we focus on elements in the regular locus of the Lie algebra and the Hessenberg space determined by negative simple roots. Then, we aim to figure out cohomological relationship of these Hessenberg varieties with a certain class of toric varieties having orbifold singularities. The main result raises an interesting topic concerning toric varieties with symmetries by reflections. This is a joint work with M. Masuda, T. Horiguchi and J. Shareshian.


January 27
11:00 am - 12:00 pm KST
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Jaehyun Hong
IBS 복소기하학연구단 Center for Complex Geometry
기초과학연구원 복소기하학연구단
대전 유성구 엑스포로 55 (우) 34126
IBS Center for Complex Geometry
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
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