URegina Topology & Geometry Seminar: Aditya Dwarkesh

In the first talk of this series, we saw how the first Stiefel-Whitney class is a complete invariant of real line bundles. Building on this, we will now study how to build a complete invariant for complex line bundles: the Chern class. Among other things, this will require us to study a new kind of cohomology theory known as the Čech cohomology. Finally, if time permits, we will also touch upon the question of complete invariants for holomorphic line bundles.