STNB 2015 (29.º año)

A new Heegner point construction


Carlos de Vera Piquero


In this talk we will sketch a work in progress with Víctor Rotger and Matteo Longo, whose goal is to investigate a new Heegner point constructioni for elliptic curves over $\mathbb Q$. The novelty of this construction is to consider $p$-adic modular parametrisations of elliptic curves with additive reduction at $p$, arising from Shimura curves which are uniformised (via Čerednik-Drinfeld theory) by a suitable étale covering of Drinfeld's $p$-adic upper half plane $\mathcal H_p$, rather than by $\mathcal H_p$ itself.


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