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Titlebook: Algebraic and Analytic Microlocal Analysis; AAMA, Evanston, Illi Michael Hitrik,Dmitry Tamarkin,Steve Zelditch Conference proceedings 2018

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Determinantal Point Processes and Fermions on Polarized Complex Manifolds: Bulk Universalityshown to be universal and expressed in terms of (the higher dimensional analog of) the Ginibre ensemble. This geometric setting applies in particular to normal random matrix ensembles, the two dimensional Coulomb gas, free fermions in a strong magnetic field and multivariate orthogonal polynomials.
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https://doi.org/10.1007/978-3-322-83087-6c distances in the respective spaces, while the convergence of first order moments gives convergence of Donaldson’s .-functional to the Aubin–Yau energy. We also include a result on approximation of infinite dimensional geodesics by Bergman kernels which generalizes work of Phong and Sturm.
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2194-1009 vanced research-level papers.Addresses new research applicatThis book presents contributions from two workshops in algebraic and analytic microlocal analysis that took place in 2012 and 2013 at Northwestern University. Featured papers expand on mini-courses and talks ranging from foundational materi
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Procesi Bundles and Symplectic Reflection Algebrasns of skew-group algebras defined in complete generality by Etingof and Ginzburg. We construct and classify Procesi bundles, prove an isomorphism between spherical Symplectic reflection algebras, give a proof of wreath Macdonald positivity and of localization theorems for cyclotomic Rational Cherednik algebras.
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Methodenforschung zu Delphi-Befragungen,a semi-classical Tauberian theorem implies the 2-term expansion. As in previous works in the series, we use scaling asymptotics of the Boutet-de-Monvel–Sjostrand parametrix and Taylor expansions to reduce the proof to the Bargmann–Fock case.
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A Microlocal Category Associated to a Symplectic Manifoldch as those due to Nadler-Zaslow and Tamarkin. In the case when our manifold is a flat two-torus, the answer is very close to both the Tamarkin microlocal category and the Fukaya category as computed by Polishchuk and Zaslow.
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