seminar FisMat

FisMat Seminar, Octubre 26, 2022, 14:30

Speaker: Giuseppe de Nittis, PUC

Title: The Magnetic Spectral Triple: Applications and Open Questions

Place: Pontificia Universidad Católica, Facultad de Matemáticas, Campus San Joaquin, Sala 1

Since the early works by Bellissard, non-commutative geometry (NCG) has proved to be an excellent tool for the analysis of the quantum Hall effect (QHE), and more in general for the study of the topological phases of matter. The central object of the Bellissard’s NCG for the QHE is a spectral triple designed to deal with tight-binding operators. In this talk we will present a new spectral triple suitable to treat  continuous magnetic operators. We will show how the QHE in the continuous can be described inside this new NCG. Certain possible new applications, along with some related open questions, will be also presented. Joint work with: F. Belmonte & M. Sandoval