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Bulk-edge correspondence at positive temperature

Horia Cornean (Aalborg)
Mathematics Seminar
Tuesday, 26 May, 2020, at 16:15, via zoom (see seminar series homepage)

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).

Organised by: SQM