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SUMMARY:Jean-Pierre Demailly (Université Grenoble Alpes)
DTSTART:20200728T153000Z
DTEND:20200728T163000Z
DTSTAMP:20260423T053134Z
UID:ZAG/35
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/35/">Her
 mitian-Yang-Mills approach to the conjecture of Griffiths on the positivit
 y of ample vector bundles</a>\nby Jean-Pierre Demailly (Université Grenob
 le Alpes) as part of ZAG (Zoom Algebraic Geometry) seminar\n\n\nAbstract\n
 Given a vector bundle of arbitrary rank with ample determinant line bundle
  on a projective manifold\, we propose a new elliptic system of differenti
 al equations of Hermitian-Yang-Mills type for the curvature tensor. The sy
 stem is designed so that solutions provide Hermitian metrics with positive
  curvature in the sense of Griffiths - and even in the stronger dual Nakan
 o sense. As a consequence\, if an existence result could be obtained for e
 very ample vector bundle\, the Griffiths  conjecture on the equivalence be
 tween ampleness and positivity of vector bundles would be settled. We also
  discuss a new concept of volume for vector bundles.\n
LOCATION:https://researchseminars.org/talk/ZAG/35/
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