Joint IAS/Princeton University Number Theory Seminar | |

Topic: | Local points of supersingular elliptic curves on $\mathbb Z_p$-extensions |

Speaker: | Mirela Ciperiani |

Affiliation: | University of Texas, Austin; von Neumann Fellow, School of Mathematics |

Date: | Thursday, October 13 |

Time/Room: | 4:30pm - 5:30pm/S-101 |

Work of Kobayashi and Iovita-Pollack describes how local points of supersingular elliptic curves on ramified $\mathbb Z_p$-extensions of $\mathbb Q_p$ split into two strands of even and odd points. We will discuss a generalization of this result to $\mathbb Z_p$-extensions that are localizations of anticyclotomic $\mathbb Z_p$-extensions over which the elliptic curve has non-trivial CM points.