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Geometry, dynamics and spectrum of operators on discrete spaces. Abstracts from the workshop held January 3–9, 2021 (online meeting). (English) Zbl 07513984

Summary: Spectral theory is a gateway to fundamental insights in geometry and mathematical physics. In recent years the study of spectral problems in discrete spaces has gained enormous momentum. While there are some relations to continuum spaces, fascinating new phenomena have been discovered in the discrete setting throughout the last decade. The goal of the workshop was to bring together experts reporting about the recent developments in a broad variety of dynamical or geometric models and to reveal new connections and research directions.

MSC:

00B05 Collections of abstracts of lectures
00B25 Proceedings of conferences of miscellaneous specific interest
47-06 Proceedings, conferences, collections, etc. pertaining to operator theory
47A10 Spectrum, resolvent
47B80 Random linear operators
47A35 Ergodic theory of linear operators
05C50 Graphs and linear algebra (matrices, eigenvalues, etc.)
82B44 Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics
52C23 Quasicrystals and aperiodic tilings in discrete geometry
46L10 General theory of von Neumann algebras
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