THE UNIVERSITY OF TOLEDO
DEPARTMENT OF MATHEMATICS SHOEMAKER LECTURES
Professor
iAn Anderson
DepArtment of MAthemAtics
UtAh StAte University
A series of lectures entitled “Symbolic Methods for Differential Geometry, Lie Groups and Differential Equations”
The theory of Lie groups and Lie algebras originated in Lie’s (rhymes with see) work on the integration of ordinary
differential equations. Professor Anderson will describe his recent work and how he is building a database of Lie
algebras. In relativity and quantum theory Lie algebras and Lie groups are of fundamental importance and examples
from general relativity will be presented. Professor Anderson will also talk about his software system VESSIOT that
interfaces the MAPLE system used at UT. The first lecture is intended for a general audience and will have numerous computer demonstrations and will be of interest to anyone who has taken calculus. In the third lecture he will
reconsider Lie’s original program in the light of the currently available software.
Lecture I
Tuesday, April 25, 2006 3:00-4:00 pm McMaster 1005
What Lie and Einstein might have done with MAPLE.
(Reception to follow in the Mathematics Department office University Hall 2040)
Lecture II
Wednesday, April 26, 3:00-4:00 pm Bowman-Oddy 1049
Low Dimensional Lie Algebras
Lecture III
Thursday, April 27, 4:00-5:00 pm University Hall 1000 (Newton Lab)
MAPLE and VESSIOT software demonstration
Lecture IV
Friday, April 28, 3:00-4:00 pm UH 4010
From Lie Algebras to Lie Groups and the Symbolic Integration of Differential Equations
AS 2249 306 20
Supported by the Richard Shoemaker funds under the auspices of Pi Mu Epsilon, Sigma Xi, Delta X and the Mathematics Department