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SUMMARY:Kiwamu Watanabe (Chuo University)
DTSTART:20210304T100000Z
DTEND:20210304T110000Z
DTSTAMP:20260423T052925Z
UID:ZAG/100
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/100/">Po
 sitivity of the exterior power of the tangent bundles</a>\nby Kiwamu Watan
 abe (Chuo University) as part of ZAG (Zoom Algebraic Geometry) seminar\n\n
 \nAbstract\nBy Mori's solution of the Hartshorne conjecture\, the only smo
 oth projective variety with ample tangent bundle is the projective space. 
 As a generalization of the Hartshorne conjecture\, Demially\, Peternell an
 d Schneider studied smooth projective varieties with nef tangent bundle. T
 hey proved that such variety X admits an étale cover Y such that the Alba
 nese map Y \\to Alb(Y) is a smooth morphism whose fibers are smooth Fano v
 arieties with nef tangent bundle. In this talk\, we will study smooth proj
 ective varieties such that the r-th exterior power of the tangent bundle i
 s nef\, paying special attention to the case r=2. This talk is based on th
 e paper arXiv:2011.01427.\n
LOCATION:https://researchseminars.org/talk/ZAG/100/
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