Higher Chow groups and Higher Green's functions
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filed under:
SFB-Kolloquium
Anton Mellit (MPI Bonn)
| What |
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|---|---|
| When |
Jul 09, 2009 from 03:15 pm to 04:15 pm |
| Where | Mainz, 05-432 (Hilbertraum) |
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I will explain my construction of higher Chow cycles on products of two elliptic curves. The regulator of such cycle is related to the higher Green function of Gross and Zagier. The derivative of the regulator can be given by certain meromorphic modular form of weight 4. This leads to a proof (in certain cases) of a conjecture of Gross and Zagier on algebraicity of values of their function at CM points.
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