Rational cube sum problem

Abstract: The classical Diophantine problem of determining which integers can be written as a sum of two rational cubes has a long history; it includes works of Sylvester, Selmer, Satgé, Leiman and the recent work of Alpöge-Bhargava-Shnidman-Burungale-Skinner. In this talk, we will use Selmer groups of elliptic curves and integral binary cubic forms to study some cases of the rational cube sum problem. This talk is based on joint works with D. Majumdar, P. Shingavekar and B. Sury.

number theory

Audience: researchers in the topic

Comments: pre-talk

UCSD number theory seminar

Series comments: Most talks are preceded by a pre-talk for graduate students and postdocs. The pre-talks start 40 minutes prior to the posted time (usually at 1:20pm Pacific) and last about 30 minutes.