Ribet points on semi-abelian varieties : a nest for counterexamples
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Thu, 12/05/2011 16:00 |
Daniel Bertrand (Paris) |
Number Theory Seminar  |
L3 |
| 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. | |||