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DTSTART:20220101T000000
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DTSTART;TZID=Asia/Seoul:20230406T110000
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SUMMARY:Donggun Lee\, Birational Geometry of Generalized Hessenberg Varieties and the Generalized Shareshian-Wachs Conjecture
DESCRIPTION:    Speaker\n\n\nDonggun Lee\nIBS-CCG\n\n\n\n\n\n\nHessenberg varieties are subvarieties of flag varieties with interesting properties in both algebro-geometric and combinatorial perspectives. The Shareshian-Wachs conjecture connects their cohomology with the chromatic quasi-symmetric functions of the associated graphs\, which are refinements of the chromatic polynomials. In this talk\, we introduce generalized Hessenberg varieties and study their birational geometry via blowups. As a result\, natural maps from Hessenberg varieties to projective spaces or the permutohedral varieties are decomposed into explicit blowups and projective bundle maps. As a byproduct\, we also provide an elementary proof of the Shareshian-Wachs conjecture and its natural generalization. This is joint work with Prof. Young-Hoon Kiem.
URL:https://ccg.ibs.re.kr/event/2023-04-06/
LOCATION:B236-1\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
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