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06/06/2002, 16:30 — 17:30 — Amphitheatre Pa1, Mathematics Building
, University of Minnesota

Moving frames for pseudogroups

In this talk, I will discuss new computational algorithms for infinite-dimensional Lie pseudo-groups. The method is based on the variational bicomplex and a new generalization of the Cartan theory of moving frames. Applications will include practical algorithms for computing complete systems of differential invariants, invariant differential forms and structure equations, classification of syzygies and recurrence relations, solutions to equivalence and symmetry problems for differential equations and variational problems arising in geometry and physics.

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The Mathematics Colloquium is a series of monthly talks organized by the Department of Mathematics of IST, aiming to be a forum for the presentation of mathematical ideas or ideas about Mathematics. The Colloquium welcomes the participation of faculty, researchers and undergraduate or graduate students, of IST or other institutions, and is seen as an opportunity of bringing together and fostering the building up of ideas in an informal atmosphere.

Organizers: Conceição Amado, Lina Oliveira e Maria João Borges.