An h-principle for complements of discriminants

Specialeforsvar: Alexis Bertrand Jacques Aumonier

Titel: An h-principle for complements of discriminants

Abstract:  We study spaces of non-singular algebraic sections of vector bundles on complex projective varieties. We compare them to spaces of continuous sections of associated jet bundles by showing that the jet map induces an isomorphism in homology in a range of degrees. The latter spaces are particularly amenable to computations using tools from homotopy theory

I will explain the words above, introduce the general idea of h-principles, and show how a homological stability result is then reduced to a simple computation in rational homotopy theory.

Vejleder: Søren Galatius
Censor:    Niels Lauritzen, Aarhus Universitet