Hyperbolicity of moduli spaces and Hodge theory

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• Yohan Brunebarbe, Université de Bordeaux
• Wednesday 21 November 2018, 14:15-15:15
• CMS MR13.

If you have a question about this talk, please contact Caucher Birkar.

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 generalizations of these hyperbolicity statements for moduli spaces of abelian varieties of dimension g>1, and more generally for any moduli space of varieties with an infinitesimal Torelli theorem (e.g. Calabi-Yau varieties).

This talk is part of the Algebraic Geometry Seminar series.

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