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The Kolchin Seminar in Differential Algebra

Hunter College - Room HW706

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

Abstract

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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

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