Integral and rational representations of forms: Prof. William Duke

Description

Criteria are given for the integral representation of a binary quartic form by certain integral ternary quadratic forms and its rational representation by some discriminant forms. These conditions depend on integral or rational solutions of a Weierstrass equation associated to the forms. Usually I can give explicit constructions of solutions when they exist. Some computations are lengthy and were discovered, and are best verified, with the assistance of software.

Period	18 Oct 2023
Event type	Guest talk
Location	AustriaShow on map