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TZOFFSETFROM:+0900
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DTSTART:20250101T000000
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DTSTART;TZID=Asia/Seoul:20260616T160000
DTEND;TZID=Asia/Seoul:20260616T170000
DTSTAMP:20260616T011645
CREATED:20260615T070009Z
LAST-MODIFIED:20260615T070009Z
UID:4590-1781625600-1781629200@ccg.ibs.re.kr
SUMMARY:Some geometric problems on G-varieties of complexity 1
DESCRIPTION:    Speaker\n\n\nYan Li\nBeijing Institute of Technology\n\n\n\n\n\n\nLet $G$ be a connected\, reductive\, linear algebraic group that acts on a normal variety $X$\, and $B$ be a Borel subgroup group of $G$. The complexity of the $G$-action on $X$ was defined by E. B. Vinberg in 1985 as the codimension of $B$-orbit at a sufficiently general position. $G$-varieties of complexity 0 are the well-known spherical varieties\, which have been widely studied by many authors in the past decades. $G$-varieties of complexity 1 also provides rich examples\, the basic theory on geometrical structure was founded by D. A. Timashev in 1997. \nIn the first lecture\, I will give an overview on the classification theory\, as well as some fundamental theorems on geometrical structure of $G$-varieties of complexity 1 which are mainly established by D. A. Timashev. In the second one\, I will introduce some recent works on geometrico-analysis problems on $G$-varieties of complexity 1\, such as K-stability and its weighted version. We will start from the former works of Suss\, Ilten\, Langlois\, Terpereau\, etc. until our recent ones.
URL:https://ccg.ibs.re.kr/event/some-geometric-problems-on-g-varieties-of-complexity-1/
LOCATION:B236-1\, IBS\, Korea\, Republic of
CATEGORIES:Algebraic Geometry Seminar
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