Chennai Mathematical Institute

Seminars




12.00 noon
Leaves and trajectories for schemes. Applications.

Colas Bardavid
Institute of Mathematical Sciences, Chennai.
03-11-10


Abstract

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.





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