Computer Algebra and Applications Seminar
Title: Integral and rational representations of forms
Speaker: Prof. William Duke, UCLA Mathematics, U.S.A.
Time and Location:
Wed, October 18, 2023, 2 p.m.;
RISC Seminarroom, Castle of Hagenberg
Abstract:
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.