Progress in Lorentz and CPT Violation

This talk at the CPT’25 meeting presents an overview of some recent results in Lorentz and CPT violation. Topics covered include the geometry of Finsler spaces associated with Lorentz violation, the resolution of the concordance problem in Lorentz-violating effective field theories, the relativistic evolution of a spin in background fields, and the phenomenology of searches for flavor-changing Lorentz and CPT violation in charged leptons.