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TZID:Asia/Seoul
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TZOFFSETFROM:+0900
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DTSTART:20210101T000000
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DTSTART;TZID=Asia/Seoul:20220915T110000
DTEND;TZID=Asia/Seoul:20220915T120000
DTSTAMP:20260419T082326
CREATED:20220822T053515Z
LAST-MODIFIED:20220828T054540Z
UID:1677-1663239600-1663243200@ccg.ibs.re.kr
SUMMARY:Benjamin McMillan\, The Range of the Killing Operator
DESCRIPTION:     Speaker\n\n\nBenjamin McMillan\nIBS-CCG\n\n\n\n\n\n\nThe Killing operator in (semi) Riemannian geometry has well understood kernel: the infinitesimal symmetries of a given metric. At the next level\, the range of the Killing operator can be interpreted as those perturbations of the metric that result from a mere change of coordinates—in contexts like general relativity\, the trivial perturbations. The range of the Killing operator\, albeit important\, has not been as well understood as its kernel. I will describe how one can use the projective nature of the Killing operator to reduce the question to that of the range of a connection on an associated bundle\, and then how one can seek to understand the range of an arbitrary connection. This process yields a fairly complete answer on locally symmetric spaces. \nBased on joint work with Federico Costanza\, Mike Eastwood\, and Thomas Leistner.
URL:https://ccg.ibs.re.kr/event/2022-09-15/
LOCATION:B236-1\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
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