Height functions with percolation / renormalisation techniques

Vortrag von Dr. Piet Lammers

Datum: 12.10.22  Zeit: 17.15 - 18.15  Raum: ETH HG G 19.1

Fröhlich and Spencer proved the Berezinskii-Kosterlitz-Thouless transition in 1981, through a relation with delocalisation of height functions. Their delocalisation proof goes through a relation with the Coulomb gas. In recent years it is becoming clear that this phase transition can also be understood in a simpler way through couplings with planar percolation models. This talk presents one such delocalisation proof and outlines some other recent advancements.