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X-WR-CALNAME:Center for Complex Geometry
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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:20220101T000000
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DTSTART;TZID=Asia/Seoul:20221013T110000
DTEND;TZID=Asia/Seoul:20221013T120000
DTSTAMP:20221002T145005
CREATED:20220830T070032Z
LAST-MODIFIED:20220928T015047Z
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SUMMARY:Jinhyun Park\, A Reciprocity Theorem Arising from a Family of Algebraic Curves
DESCRIPTION: Speaker\n\n\nJinhyun Park\nKAIST\n\n\n\n\n\n\nThe classical reciprocity theorem\, also called the residue theorem\, states that the sum of the residues of a rational (meromorphic) differential form on a compact Riemann surface is zero. Its generalization to smooth projective curves over a field is often called the Tate reciprocity theorem. \nThere is a different “multiplicative version” too. Here\, instead of a rational form\, one uses a pair of rational functions on a smooth projective curve\, and instead of residues\, one uses “Tame symbols”. The corresponding global result is called the Weil reciprocity. This result is elegantly reformulated in terms of the Milnor K-theory\, and it is generalized to sequences of rational functions by A. Suslin. This Suslin reciprocity was recently strengthened by D. Rudenko\, resolving a conjecture of A. Goncharov. \nIn this talk\, let me sketch my recent work in-progress\, that studies a different kind of reciprocity results coming from a proper family of algebraic curves over an algebraically closed field of characteristic 0.
URL:https://ccg.ibs.re.kr/event/2022-10-13/
LOCATION:B236-1\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
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BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20221027T110000
DTEND;TZID=Asia/Seoul:20221027T120000
DTSTAMP:20221002T145005
CREATED:20220907T075418Z
LAST-MODIFIED:20220926T063239Z
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SUMMARY:Jaewoo Jeong\, TBA
DESCRIPTION: Speaker\n\n\n Jaewoo Jeong\nIBS CCG\n\n\n\n\n\nTBA
URL:https://ccg.ibs.re.kr/event/2022-10-27/
LOCATION:B236-1\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
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