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SUMMARY:Simone Diverio (SAPIENZA Università di Roma)
DTSTART:20210205T160000Z
DTEND:20210205T171500Z
DTSTAMP:20260423T005712Z
UID:CIRGET/28
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CIRGET/28/">
 Pointwise universal Gysin formulae and positivity of some characteristic f
 orms</a>\nby Simone Diverio (SAPIENZA Università di Roma) as part of CRM 
 - Séminaire du CIRGET / Géométrie et Topologie\n\n\nAbstract\nIn the la
 st few years there has been a renewed interest around an old conjecture by
  Griffiths characterizing which should be the positive characteristic form
 s for any given Griffiths positive holomorphic Hermitian vector bundle. Ac
 cording to this conjecture\, they should be precisely the characteristic f
 orms belonging to the positive cone spanned by the Schur forms.\nAfter rec
 alling the various notions of positivity for holomorphic Hermitian vector 
 bundles\, and how they are (or should be) related\, we shall explain a rec
 ent result obtained in collaboration with my PhD student F. Fagioli\, whic
 h gives a partial confirmation of the above conjecture.\nSuch a result is 
 obtained as a consequence of a pointwise\, differential-geometric Gysin fo
 rmula for the push-forward of the curvature of the tautological line bundl
 es over flag bundles.\n
LOCATION:https://researchseminars.org/talk/CIRGET/28/
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