BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Jean-Pierre Demailly (Institut Fourier)
DTSTART:20201117T134500Z
DTEND:20201117T144500Z
DTSTAMP:20260423T005730Z
UID:BOWL/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BOWL/5/">Her
 mitian-Yang-Mills approach to the conjecture of Griffiths on the positivit
 y of ample vector bundles</a>\nby Jean-Pierre Demailly (Institut Fourier) 
 as part of B.O.W.L Geometry Seminar\n\n\nAbstract\nGiven a vector bundle o
 f arbitrary rank with ample determinant line\nbundle on a projective manif
 old\, we propose a new elliptic system of\ndifferential equations of Hermi
 tian-Yang-Mills type for the curvature\ntensor.  The system is designed so
  that solutions provide Hermitian\nmetrics with positive curvature in the 
 sense of Griffiths – and even\nin the dual Nakano sense. As a consequenc
 e\, if an existence result\ncould be obtained for every ample vector bundl
 e\, the Griffiths\nconjecture on the equivalence between ampleness and pos
 itivity of\nvector bundles would be settled. Another outcome of the approa
 ch is a\nnew concept of volume for vector bundles.\n
LOCATION:https://researchseminars.org/talk/BOWL/5/
END:VEVENT
END:VCALENDAR