Random Matrices and Integrability in Complex and Quantum Systems
Research Workshop of The Israel Science Foundation
25 – 30 October 2023
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Related Event The 24th Midrasha Mathematicae on "Random Schrödinger Operators and Random Matrices", 14 − 18 May 2023
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More than nine decades after random matrices surfaced in mathematical statistics and seven decades after they debuted in nuclear physics, "the magical world of random matrices" (Dyson) continues to attract both mathematicians and physicists; new mathematical structures and results are being brought in; new unthinkable connections between seemingly remote fields of knowledge are being discovered. Notable examples of systems exhibiting the mysterious convergence to random matrices include spectra of heavy nuclei, QCD, quantum gravity, black holes, two-dimensional Ising model, quantum chaotic billiards, random growth models, nontrivial zeros of the Riemann zeta function, socio-economic complex systems, and more.
The purpose of this workshop is to convene leading researchers from both the mathematics- and physics-oriented parts of the multifaceted random-matrix theory community to discuss the latest developments in the field and identify new challenging problems and directions of research.
The workshop topics include (but are not restricted to)
Random spectra and determinantal point processes
Log-correlated fields and multiplicative chaos
Non-Hermitian RMT and dissipative quantum chaos
RMT in many-body quantum chaos and SYK models
High-dimensional landscapes and deep learning
The program will consist of invited and contributed talks, and a poster session. Please navigate
through this website for further information. [For previous events browse: 2009,
2014,
2018].
The workshop is co-sponsored by The Israel Science Foundation, H.I.T. − Holon Institute of Technology, The Hebrew University of Jerusalem, The University of Haifa, IAMP − International Association of Mathematical Physics, Annales Henri Poincaré (Institut Henri Poincaré and Swiss Physical Society), Journal of Mathematical Physics (AIP), and Entropy (MDPI).