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SUMMARY:Abdus Salam Colloquium: Evgeny Sobko – Deep Learning based discov
 ery of Integrable Systems
DESCRIPTION:\n\n\nDeep Learning based discovery of Integrable Systems\nAbst
 ract : Integrable systems are exactly solvable models that play a central
  role in QFT\,\n\nstring theory and statistical physics offering an ideal
  setting for understanding complex physical\nphenomena and developing nove
 l analytical methods. However\, the discovery of new integrable sys-\ntems
  remains a major open challenge due to the nonlinearity of the Yang–Baxt
 er equation (YBE)\nthat defines them\, and the vastness of its solution sp
 ace. Here we present the first AI-based frame-\nwork that enables the disc
 overy of new quantum integrable systems in exact analytical form. Our\nmet
 hod combines an ensemble of neural networks\, trained to identify high-pre
 cision numerical so-\nlutions to the YBE\, with an algebraic extraction pr
 ocedure based on the Reshetikhin integrability\ncondition\, which reconstr
 ucts the corresponding Hamiltonian families analytically. When applied\nto
  spin chains with three- and four-dimensional site spaces\, we discover hu
 ndreds of previously un-\nknown integrable Hamiltonians. Remarkably\, thes
 e Hamiltonians organize into rational algebraic\nvarieties\, and we conjec
 ture that this rationality holds universally — revealing a previously\nu
 nexplored connection between quantum integrability and algebraic geometry.
  By unlocking inte-\ngrable systems far beyond the reach of traditional me
 thods\, this AI-driven approach substantially\nexpands the landscape of ex
 actly solvable models and opens a scalable path to further discoveries.\n\
 n
URL:https://www.imperial.ac.uk/events/204421/abdus-salam-colloquium-evgeny-
 sobko-deep-learning-based-discovery-of-integrable-systems/
DTSTART;TZID=Europe/London:20260127T143000
DTEND;TZID=Europe/London:20260127T153000
LOCATION:H503\, Huxley Building\, South Kensington Campus\, Imperial Colleg
 e London\, London\, SW7 2AZ\, United Kingdom
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