The talk will explain how the bulk-boundary correspondence can be approached from a purely PDE point of view, inspired by a recent work of A. Drouot (https://arxiv.org/abs/1909.10474). We will derive a key formula which is valid at non-zero temperature, in the presence of long-range magnetic fields, and without any gap conditions. The usual bulk-boundary correspondence is then obtained by taking the zero temperature limit and assuming a gap condition. An important rôle in the proof of this limit is played by the so-called Streda formula https://arxiv.org/abs/1810.05623
This is joint ongoing work with M. Moscolari (Aalborg) and S. Teufel (Tübingen).
To get an invitation to the zoom-meeting, please contact one of the organisers (see the series link above).