Seminar series
Date
Thu, 12 May 2011
16:00
16:00
Location
L3
Speaker
Daniel Bertrand
Organisation
Paris
The points in question can be found on any semi-abelian surface over an elliptic curve with complex multiplication. We will show that they provide counter-examples to natural expectations in a variety of fields : Galois representations (following K. Ribet's initial study from the 80's), Lehmer's problem on heights, and more recently, the relative analogue of the Manin-Mumford conjecture. However, they do support Pink's general conjecture on special subvarieties of mixed Shimura varieties.