RéGA
# Bruno Klingler "Bi-algebraic geometry and some diophantine problems"

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Europe/Paris

Salle 314 (IHP)
### Salle 314

#### IHP

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Bruno Klingler (Université Paris VII)

Bi-algebraic geometry and some diophantine problems

Bi-algebraic geometry is a simple geometric format encoding functional and arithmetical transcendence statements. In this talk, I will describe this format and its applications to two classical diophantine problems : the Manin-Mumford conjecture on the distribution of torsion points on Abelian varieties, and the André-Oort conjecture on the distribution of CM-points on Shimura varieties.

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