|Joint IAS/Princeton University Number Theory Seminar|
|Topic:||Local points of supersingular elliptic curves on $\mathbb Z_p$-extensions|
|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.