Periodic and Ergodic Schrodinger Operators
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Organizer(s): |
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Affiliation:
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Country:
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Matthew Faust
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Michigan State University
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USA
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Ilya Kachkovskiy
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Michigan State University
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USA
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Omar Hurtado
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Georgia Institute of Technology
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USA
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Introduction:
| | Schr\"odinger operators appear frequently in many facets of modern quantum physics. These operators and the methods developed to analyze them have been crucial in understanding the transport properties of various systems, including crystals, quasicrystals, crystals with random impurities, disordered spin models, and many other models in mathematical physics. Recently, applications of algebraic geometry have found a role in the study of these operators and their generalizations, leading to a spike of interest in quantum graphs, Fourier quasicrystals, and Fermi varieties.
The primary goal of this special session is to bring together a broad group of junior and senior researchers in various fields related to the spectral theory of Schrödinger operators with additional structure, including but not limited to: periodic operators, quasiperiodic operators, discrete and quantum graphs, random operators, and topological quantum systems.
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