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DTSTART:20240101T000000
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DTSTART;TZID=Asia/Seoul:20251002T140000
DTEND;TZID=Asia/Seoul:20251002T150000
DTSTAMP:20260519T083636
CREATED:20250924T152103Z
LAST-MODIFIED:20251030T163023Z
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SUMMARY:Minseong Kwon\, Automorphism groups of toroidal horospherical varieties
DESCRIPTION:    Speaker\n\n\nMinseong Kwon\nGyeongsang National University\n\n\n\n\n\n\nIn the 1970s\, Demazure studied the automorphism groups of two types of almost homogeneous varieties: rational homogeneous spaces and toric varieties. Especially\, for a smooth complete toric variety\, Demazure obtained a structure theorem for the connected automorphism group in terms of the so-called Demazure roots. In this talk\, I will discuss the connected automorphism group of a smooth complete toroidal horospherical variety\, which can be viewed as a fiber bundle over a rational homogeneous space with toric fibers. Namely\, I will introduce a notion of roots as a generalization of the Demazure roots\, and then utilize it to describe the structure of the connected automorphism group. As a consequence\, a reductivity criterion for the connected automorphism group will be presented. This talk is based on a joint work with Lorenzo Barban and DongSeon Hwang.
URL:https://ccg.ibs.re.kr/event/2025-1002/
LOCATION:B236-1\, IBS\, Korea\, Republic of
CATEGORIES:Algebraic Geometry Seminar
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