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Explore Anderson localization phenomena in negatively curved geometries through this 34-minute conference talk delivered at the Workshop on Frontiers in Quantum Materials. Delve into the theoretical framework of how disorder-induced localization behaves in hyperbolic spaces, examining the interplay between geometric curvature and quantum transport properties. Learn about the mathematical foundations of Anderson localization theory extended to non-Euclidean geometries, including the role of spectral statistics and wave function properties in curved manifolds. Discover how negative curvature affects the localization-delocalization transition and influences the critical behavior of disordered quantum systems. Gain insights into the implications for quantum materials research and the broader understanding of quantum transport in complex geometries, presented by Tobias Micklitz from the Brazilian Center for Physics Research (CBPF) as part of ICTP-SAIFR's comprehensive workshop on cutting-edge developments in quantum materials science.
