The Kolchin Seminar in Differential Algebra
Saturday May 14th 2005
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Sally Morrison
Bucknell University
Introduction to Ritt's Differential Algebra
3:30 - 4:30PM
Abstract: This is an introduction to the language and methods of
Differential Algebra for those with little or no previous
exposure to the subject. The emphasis is on examples
and major ideas rather than on precise techniques and
proofs.
Differential polynomial algebra may be regarded as
an attempt to use the methods of abstract algebra to obtain
information about solutions of systems of differential
equations, in much the same way that the theory of
polynomial rings yields information about solutions of
systems of polynomial equations.
In this talk we review the fundamental definitions and
problems of the subject including: the basics of
differential rings, ideals, and homomorphisms; the
correspondence between solutions of differential equations
and differential ideals; decomposition of a solution into
its irreducible components---and, in particular, the
decomposition of a single differential polynomial into its
general and singular components.
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Phyllis J. Cassidy
City College of CUNY
A converse of the Ritt-Raudenbush Basis Theorem for commutative differential Hopf algebras
5:00-6:00pm
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Coffee and tea will be served beginning at 3:00PM
Room HW706
Click here for directions to Hunter College and location of room