Séminaire QUID

Quid seminar

by Mr Axel Gastaldi (Aix-Marseille Université)

Europe/Paris
129 Room Picard (IMT 1R2)

129 Room Picard

IMT 1R2

Description

Curvatures as topological invariant

Any connection on a vector bundle possesses a curvature. The aim of the talk is to introduce this object as a deep topological invariant. Its trace is a complete invariant of line bundles and its determinant controls the existence of a nowhere vanishing section on the underlying vector bundle.