Computations in classical invariant theory of binary forms

Monday, November 20, 2006 - 11:15am - 12:15pm
Lind 409
Chehrzad Shakiban (University of Minnesota, Twin Cities)
Recent years have witnessed a reflourishing of interest in classical invariant theory, both as a mathematical subject and in applications. The applications have required a revival of the computational approach, a task that is now improved by the current availability of symbolic manipulation computer softwares. In this talk, we will review the basic concepts of invariants and covariants of binary forms, and discuss some elementary examples. We will then use the symbolic method of Aronhold, and algebrochemical methods of Clifford and Sylvester for computations and present some applications to syzygies and transvectants of covariants.