Seminar TODAY: Irma Balcik

[Bianca Viray]

Hi everyone,

A reminder that our seminar speaker today is Irmak Balcik, from Northwestern University, who will be speaking on "Growth of Torsion of Elliptic Curves Over Imaginary Quadratic Fields with Class Number 1" (abstract below). The seminar is at 11am in PDL C-401 and as usual we will go to lunch with the speaker after the talk.

Abstract: In this talk, we will examine the effect that quadratic base change of an elliptic curve $E$ over a number field $K$ has on its torsion subgroup $E(K)_{\text{tor}}.$ If $K=\mathbb{Q},$ it has been extensively studied. As a step toward number fields greater than $\mathbb{Q}$, we will start with elliptic curves defined over a fixed quadratic field. The proofs require the use of several techniques ranging from the Galois action to the study of quadratic points on certain modular curves.

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Bianca Viray (she/her)

Craig McKibben and Sarah Merner Professor of Mathematics

University of Washington

Seattle, WA 98195

https://sites.math.washington.edu/~bviray/