Seminario Dottorato 2021/22 - Daniele Troletti (02.02.2022) - MediaSpace

Seminario Dottorato 2021/22 - Daniele Troletti (02.02.2022)

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MODULAR CURVES AND HEEGNER POINTS

One the the main open conjecture is the one due to Birch and Swinnerton-Dyer about elliptic curves. There are many attempts to prove it but they were able to prove only some special cases, like the rank 1 case proven by Kolyvagin using the Heegner points method.
This seminar will give an introduction on the basis required to define the Heegner points, such as elliptic and modular curves. After that we are going to define Heegner points and show some results achieved using them.

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Seminario Dottorato 2021/22 - Daniele Troletti (02.02.2022)

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