NTD 2017 - Hodge theory and atypical intersections

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Event details

Date 02.06.2017
Hour 17:0018:00
Speaker Prof. Bruno Klingler (Université Paris Diderot)
Location
Category Conferences - Seminars

Given a smooth family of quasiprojective complex varieties $f:X \rightarrow S$, one would like to understand the locus of points $s \in S$ whose fiber $X_s$ admits more Hodge classes than the very general fiber. In this talk I will describe a general conjecture (and some results) concerning this locus in terms of exceptional intersections. When $S$ is a Shimura variety and $f: X \rightarrow S$ a standard family of Abelian varieties one recovers the Zilber-Pink conjectures, in particular the Andr\'e-Oort conjecture.
 

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Practical information

  • Informed public
  • Registration required

Organizer

  • EPFL - ETHZ - FIM

Contact

  • Prof. Philippe Michel

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