ERC Research Period on Diophantine Geometry
timetable:
Thu 18 Oct, 11:20 - 12:00, Sala Conferenze Centro De Giorgi
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Diagonal hypersurfaces and the Bloch/Kato conjecture (40')
speaker: Peter Swinnerton-Dyer (Cambridge University)abstract: Let V be a complete nonsingular variety defined over Q and let L(s) be the corresponding L-series for codimension d. Bloch and Kato (building on the work of Beilinson) have made conjectures about the value of L(s) when s is an integer. In the case when V is a diagonal hypersurface, such values can be computed explicitly, and it is possible to make a partial comparison between the computed values and the values conjectured by Bloch and Kato. (The comparison is only partial because information about the values conjectured by Bloch and Kato is only partial.)
timetable:
Thu 18 Oct, 11:20 - 12:00, Sala Conferenze Centro De Giorgi
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