Explorations in the kinematical Erlanger program

Funder	Engineering and Physical Sciences Research Council
Recipient Organization	University of Edinburgh
Country	United Kingdom
Start Date	Aug 31, 2024
End Date	Aug 30, 2028
Duration	1,460 days
Number of Grantees	2
Roles	Student; Supervisor
Data Source	UKRI Gateway to Research
Grant ID	`2932902`

Grant Description

Klein's Erlanger Program was an influential approach to geometry via symmetry. Klein geometries were "static".

Adding time into the fold, results in a kinematical Erlanger program which, roughly speaking, exploits the beautiful interplay between different homogeneous spaces of kinematical Lie groups to describe the dynamics of particles and fields. The precise project, to be determined later in conversation with Ioannis, will be set in this context.