Lie equations, Cartan bundles, Tanaka theory and differential invariants 1

Boris Kruglikov (UiT)

Sep 15. 2021, 11:00 — 12:00

In many applications, spaces of maximal symmetry play an important role. I will discuss how to obtain a universal bound for symmetry dimension of a geometry.

I will start with the general setup for differential equations in jet-spaces, recall their geometry and derive dimensional bounds on the solution spaces.

Then I introduce Lie equations for pseudogroups of transformations, and discuss their relations to symmetries and differential invariants of geometric structures.

Further Information
ESI Boltzmann Lecture Hall
Slides 1
Associated Event:
Geometry for Higher Spin Gravity: Conformal Structures, PDEs, and Q-manifolds (Thematic Programme)
Xavier Bekaert (U of Tours)
Andreas Cap (U of Vienna)
Stefan Fredenhagen (U of Vienna)
Maxim Grigoriev (U of Mons)
Alexei Kotov (U Hradec Králové)