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SUMMARY:Hyperbolicity of moduli spaces and Hodge theory - Yohan Brunebarbe
 \, Université de Bordeaux
DTSTART:20181121T141500Z
DTEND:20181121T151500Z
UID:TALK109348@talks.cam.ac.uk
CONTACT:Caucher Birkar
DESCRIPTION:It is well-known that the level-N modular curve X(N) has genus
  at least 2 exactly when N>6. In particular\, it follows that there is no 
 non-trivial family of elliptic curves over the complex affine line. In my 
 talk\, I will explain how one can use Hodge theory to prove some generaliz
 ations of these hyperbolicity statements for moduli spaces of abelian vari
 eties of dimension g>1\, and more generally for any moduli space of variet
 ies with an infinitesimal Torelli theorem (e.g. Calabi-Yau varieties).
LOCATION:CMS MR13
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