Connections and curvature 2: Linear systems of ODEs
Channel: Timothy Hosgood
Date: 2020-06-02

In this part, we start thinking about how we can solve linear systems of ODEs, and how this leads to definitions of connections and curvature. We end up talking about the Frobenius integrability theorem, as well as local systems.
(prerequisites: very basic ODE/linear algebra knowledge; definition of a vector bundle)

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Given that I'd already made a slideshow for a graduate seminar that I spoke at, I thought I'd (very roughly) record the talk and split it up into smaller parts.

The work presented here has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 768679).