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X-WR-CALDESC:Events for Center for Complex Geometry
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TZID:Asia/Seoul
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TZOFFSETFROM:+0900
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DTSTART:20230101T000000
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DTSTART;TZID=Asia/Seoul:20240611T160000
DTEND;TZID=Asia/Seoul:20240611T170000
DTSTAMP:20260502T160457
CREATED:20240425T082421Z
LAST-MODIFIED:20240529T003804Z
UID:3117-1718121600-1718125200@ccg.ibs.re.kr
SUMMARY:Eric Sommers\, Some Slodowy Slices Associated to Special Nilpotent Orbits
DESCRIPTION:    Speaker\n\n\nEric Sommers\nUniversity of Massachusetts\n\n\n\n\n\n\nAmong the nilpotent orbits in a simple Lie algebra are the special nilpotent orbits\, which play an important role in representation theory. Some of the geometry of the closure of a nilpotent orbit can be understood by taking a transverse slice to a smaller orbit in the closure. This talk concerns a classification of two types of such transverse slices: (1) those between adjacent special nilpotent orbits; and (2) those between a special nilpotent orbit and a certain non-special nilpotent orbit in its closure. The slices in part (1) exhibit a duality\, which extends an observation of Kraft and Procesi for type A. The slices in part (2) are related to a conjecture of Lusztig on special pieces.  This talk is based on two preprints with Baohua Fu\, Daniel Juteau\, and Paul Levy.
URL:https://ccg.ibs.re.kr/event/2024-0611-1600-1700/
LOCATION:B236-1\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
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