Prof. Joël Merker (Paris-Saclay University): Symmetries with power series - Part I
Channel: Centrum Fizyki Teoretycznej PAN
Date: 03/05/2022

Prof. Joël Merker (Paris-Saclay University).
Symmetries with power series - Part I.
The first lecture will show how to compute Tanaka-graded components of certain exceptional CR geometries. This is joint work with D. Hill, Z. Nie, P. Nurowski.  The second lecture will show how to find nice transversals for power series normal forms, e.g. 7D affine or CR degenerate structures, with unexpected dynamical systems behavior.  The third lecture will explain how differential invariants can be handled as plain Taylor coefficients, which simplifies strikingly computations.

This is a bi-weekly seminar for the Grieg collaboration project SCREAM: Symmetry, Curvature Reduction, and EquivAlence Methods, funded by the Norwegian Financial Mechanism 2014-2021. The registration number of the project is 2019/34/H/ST1/00636. 

The focus of the project is on a broad class of differential geometric structures known as Cartan and parabolic geometries, which include conformal, projective, CR, and ODE geometry, (2, 3, 5)-distributions, parabolic contact structures, and many more besides. Moreover, we explore the interaction of these structures with a variety of subjects such as mechanical systems and geometric robots, the theory of integrable systems, and Penrose's Conformal Cyclic Cosmology programme. 

More information can be found in www.cft.edu.pl/grieg.