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TZID:Asia/Seoul
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TZOFFSETFROM:+0900
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DTSTART:20210101T000000
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BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20220224T110000
DTEND;TZID=Asia/Seoul:20220224T120000
DTSTAMP:20260424T090417
CREATED:20220224T020000Z
LAST-MODIFIED:20220126T041807Z
UID:1077-1645700400-1645704000@ccg.ibs.re.kr
SUMMARY:Jeong-Seop Kim\, Positivity of Tangent Bundles of Fano Threefolds
DESCRIPTION:     Speaker\n\n\nJeong-Seop Kim\nKAIST\n\n\n\n\n\nAs well as the Hartshorne-Frankel conjecture on the ampleness of tangent bundle\, it has been asked to characterize a smooth projective variety X whose tangent bundle TX attains certain positivity\, e.g.\, nefness\, k-ampleness\, or bigness. But for the ampleness\, the complete answers are not known even within the class of smooth Fano varieties\, only partial answers are known in the case of lower dimension or lower Picard number\, some of which rely on classification theorems. On the bigness of TX\, the characterization has been done recently in the case of dimension 2 (Höring-Liu-Shao) and dimension 3 with Picard number 1 (Höring-Liu) using a special divisor on P(TX)\, called the total dual VMRT. In this talk\, I will briefly review the classification of Fano threefolds and the theory of total dual VMRT. Then I will introduce some criteria to determine the bigness of TX\, and announce a result on the bigness of TX in the case of dimension 3 with higher Picard number. This is joint work with Hosung Kim and Yongnam Lee.
URL:https://ccg.ibs.re.kr/event/2022-02-24/
LOCATION:TBA
CATEGORIES:Complex Geometry Seminar
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