# Bulk-edge correspondence at positive temperature

Horia Cornean (Aalborg)
Mathematics seminar
Tirsdag, 26 maj, 2020, at 16:15, via zoom (see seminar series homepage)
Beskrivelse:
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).