Event Type:

Department Colloquium

Date/Time:

Tuesday, November 16, 2004 - 07:00

Location:

Kidd 364

Local Speaker:

Abstract:

Lie pseudogroups, roughly speaking, are infinite dimensional counterparts of local Lie groups of transformations. Since their first systematic treatment by Sophus Lie at the end of the 19th century, Lie or continuous pseudogroups have grown to play an important role in various problems arising in geometry and mathematical physics including symmetries of differential equations, gauge theories, Hamiltonian and fluid mechanics, relativity, symplectic and Poisson geometry, conformal geometry of surfaces, conformal field theory and the theory of foliations.

In this talk I will first review some background material and classical applications of pseudogroups. I will then move on to describe my recent joint work with Peter Olver on developing systematic and constructive algorithms for the identification of various invariant quantities for pseudogroup actions.