Joseph Ayoub -- Rigid analytic motivic sheaves

I will report on recent work concerning motives in rigid analytic geometry. In particular, I would like to discuss a vast generalisation of an old theorem of mine describing the category of rigid analytic motives over a non Archimedean field of equicharacteristic zero in terms of algebraic motives over its residue field. The generalisation is to an arbitrary rigid analytic base.
This is joint work with M. Gallauer and A. Vezzani.