n-Selmer group of elliptic curves over number fields
by
DrSomnath Jha(IIT Kanpur)
→
Asia/Kolkata
AG-77
AG-77
Description
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.