Aditya Dwarkesh

A connection on a vector bundle is data which tells us how to lift a curve from the base space to the total space. In this talk, we introduce a generalization of them known as "formal connections," and explain how they offer us a way to model the...

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...