課程概述 |
We begin with the topic on integers represented by quadratic forms.
After explaining a proof of the Hasse-Minkowski's theorem, we will move on to cubic equations:
elliptic curves over the rational number field, Mordell-Weil theorem, the method of 2-descent, the associated Hasse-Weil L-functions and the famous Birch and Swinnerton-Dyer conjecture.
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