Tao on Zhang
Terry Tao has offered a detailed summary of a series of talks by Shou-wu Zhang on rational points on curves. The existence of rational points turns out to depend critically on the genus of the curve, which is a topological and complex-analytic property of the curve.
The summary of each talk provides the flavor of the subject (which is very technical):
- Overview of rational points on curves
- Gross-Zagier formula and Birch and Swinnerton-Dyer conjecture
- Triple L-series and effective Mordell conjecture
This entry was posted
on Friday, May 18th, 2007 at 8:49 pm and is filed under Mathematics.
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