Chennai Mathematical Institute


12.00 noon
Leaves and trajectories for schemes. Applications.

Colas Bardavid
Institute of Mathematical Sciences, Chennai.


We develope new tools for schemes, namely leaves and trajectories and use it for two applications: 1) we compare two sheaves over the differential spectrum of a differential ring A 2) we geometrize and generalize a lemma of differential Galois theory. This generalization leads us to study the issue of the space of leaves of a scheme endowed with a vector field.