School of Mathematics Colloquium

n-Selmer group of elliptic curves over number fields

by Dr. Somnath Jha (IIT Kanpur)

Friday, December 16, 2022 from to (Asia/Kolkata)
at AG-77
Abstract: The recent work of Bhargava et al., Mazur-Rubin and others on
the n-Selmer group of an elliptic curve has had a significant
impact on the arithmetic of the elliptic curve. Let E be an elliptic curve
over Q with a rational 3-isogeny. In this talk, we will discuss the
3-Selmer group of E.  We will indicate some applications to a
classical Diophantine problem related to rational cube sum.

This talk is based on a joint work with D. Majumdar and P. Shingavekar.