View abstract

Session III.6 - Symbolic Analysis

Wednesday, June 21, 15:00 ~ 15:30

A New Equivalence Method

Joël Merker

Paris-Saclay University, France   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

To upgrade the naive approach through power series expanded at only one point, the talk will show how to import concepts and principles of \'Elie Cartan's G-structured method of equivalence. Quite unexpectedly, basic linear representation theory happens to become of central use within highly nonlinear jet bundles.

Two specific illustrations will be presented: Homogeneous models of 5D PDE systems under fiber-preserving transformations; Affinely homogeneous surfaces $S^2$ in $R^4$.

Joint work with Julien Heyd (Paris-Saclay University).

View abstract PDF