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)
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.