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UID:1581@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20170214T110000
DTEND;TZID=Europe/Paris:20170214T120000
DTSTAMP:20170130T100000Z
URL:https://www.i2m.univ-amu.fr/evenements/arithmetic-hyperbolicity/
SUMMARY: (...): Arithmetic hyperbolicity
DESCRIPTION:: We will show that\, assuming Lang-Vojta's conjecture\, the mo
 duli of smooth hypersurfaces of fixed degree in a fixed projective space i
 s arithmetically hyperbolic. More generally\, any algebraic stack with an 
 immersive period map is arithmetically hyperbolic assuming Lang-Vojta's co
 njecture.We finish with unconditional results. For instance\, we verify th
 e arithmetic hyperbolicity of the moduli of smooth sextic surfaces\, and c
 ertain Fano threefolds. We also give a first explicit counterexample to Sh
 afarevich's problem for Fano threefolds. This is joint work with Daniel Lo
 ughran.http://www.agtz.mathematik.uni-mainz.de/arakelov-geometrie/junior-p
 rof-dr-ariyan-javanpeykar/
CATEGORIES:Séminaire,Géométrie Complexe
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DTSTART:20161030T020000
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