Heisenberg Realizations, Eigenfunctions and Proof of the Kurlberg-Rudnick Supremum Conjecture

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dc.creatorGurevich, Shamgar
dc.creatorHadani, Ronny
dc.date2005-11-10
dc.date2005-11-17
dc.date.accessioned2026-07-07T06:50:29Z
dc.date.available2026-07-07T06:50:29Z
dc.descriptionIn this paper, proof of the {\it Kurlberg-Rudnick supremum conjecture} for the quantum Hannay-Berry model is presented. This conjecture was stated in P. Kurlberg's lectures at Bologna 2001 and Tel-Aviv 2003. The proof is a primer application of a fundamental solution: all the Hecke eigenfunctions of the quantum system are constructed. The main tool in our construction is the categorification of the compatible system of realizations of the Heisenberg representation over a finite field. This enables us to construct certain "perverse sheaves" that stands motivically prior to the Hecke eigenfunctions.
dc.descriptionPreliminary version, 31 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0511036
dc.identifierhttp://arxiv.org/abs/math-ph/0511036
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104681
dc.subjectMathematical Physics
dc.subjectRepresentation Theory
dc.subjectQuantum Physics
dc.titleHeisenberg Realizations, Eigenfunctions and Proof of the Kurlberg-Rudnick Supremum Conjecture
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