Diagonal cycles and triple L-series
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If you have a question about this talk, please contact helen.
For a smooth and projective curve, Gross and Schoen
have constructed a (modified and cohomologically trivial) diagonal cycle.
In modular curve case, Gross and Kulda have conjectured that the heights
of the Hecke components of this cycle are related to the derivatives
of triple L-series of modular forms. In this talk, I will outline a
proof of the conjecture, and explain some consequences in
Beilinson-Bloch conjecture and Bogomolov conjecture.
This talk is part of the Kuwait Foundation Lectures series.
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