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Algebraic and Analytic Microlocal Analysis

AAMA, Evanston, Illinois, USA, 2012 and 2013

  • Conference proceedings
  • © 2018

Overview

Editors:
  1. Michael Hitrik

    1. Department of Mathematics, UCLA, Los Angeles, USA

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  2. Dmitry Tamarkin

    1. Department of Mathematics, Northwestern University, Evanston, USA

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  3. Boris Tsygan

    1. Department of Mathematics, Northwestern University, Evanston, USA

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  4. Steve Zelditch

    1. Department of Mathematics, Northwestern University, Evanston, USA

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  • Includes a broad range of related topics and applications in microlocal analysis
  • Provides a range of topics from foundational material to advanced research-level papers
  • Addresses new research applications, including symplectic geometry and topological field theory

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 269)

Included in the following conference series:

Conference proceedings info: AAMA 2013.

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Table of contents (14 papers)

  1. Front Matter

    Pages i-xvi
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  2. Algebraic Microlocal Analysis

    1. Front Matter

      Pages 1-1
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    2. Procesi Bundles and Symplectic Reflection Algebras

      • Ivan Losev
      Pages 3-61

    3. Three Lectures on Algebraic Microlocal Analysis

      • Pierre Schapira
      Pages 63-97

    4. Microlocal Condition for Non-displaceability

      • Dmitry Tamarkin
      Pages 99-223

    5. A Microlocal Category Associated to a Symplectic Manifold

      • Boris Tsygan
      Pages 225-337

  3. Analytic Microlocal Analysis

    1. Front Matter

      Pages 339-339
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    2. Determinantal Point Processes and Fermions on Polarized Complex Manifolds: Bulk Universality

      • Robert J. Berman
      Pages 341-393

    3. Probability Measures Associated to Geodesics in the Space of Kähler Metrics

      • Bo Berndtsson
      Pages 395-419

    4. Intersection Bounds for Nodal Sets of Laplace Eigenfunctions

      • Yaiza Canzani, John A. Toth
      Pages 421-436

    5. Upper Bounds for Bergman Kernels Associated to Positive Line Bundles with Smooth Hermitian Metrics

      • Michael Christ
      Pages 437-457

    6. Off-Diagonal Decay of Bergman Kernels: On a Question of Zelditch

      • Michael Christ
      Pages 459-481

    7. Two Minicourses on Analytic Microlocal Analysis

      • Michael Hitrik, Johannes Sjöstrand
      Pages 483-540

    8. A Proof of a Result of L. Boutet de Monvel

      • Gilles Lebeau
      Pages 541-574

    9. Propagation of Analytic Singularities for Short and Long Range Perturbations of the Free Schrödinger Equation

      • André Martinez, Shu Nakamura, Vania Sordoni
      Pages 575-587

    10. Pointwise Weyl Law for Partial Bergman Kernels

      • Steve Zelditch, Peng Zhou
      Pages 589-634

    11. Scattering Resonances as Viscosity Limits

      • Maciej Zworski
      Pages 635-654
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  1. Algebraic and Analytic Microlocal Analysis

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About this book

This 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 material to advanced research-level papers, and new applications in symplectic geometry, mathematical physics, partial differential equations, and complex analysis are discussed in detail. Topics include Procesi bundles and symplectic reflection algebras, microlocal condition for non-displaceability, polarized complex manifolds, nodal sets of Laplace eigenfunctions, geodesics in the space of KÓ“hler metrics, and partial Bergman kernels. This volume is a valuable resource for graduate students and researchers in mathematics interested in understanding microlocal analysis and learning about recent research in the area.

Editors and Affiliations

  • Department of Mathematics, UCLA, Los Angeles, USA

    Michael Hitrik

  • Department of Mathematics, Northwestern University, Evanston, USA

    Dmitry Tamarkin, Boris Tsygan, Steve Zelditch

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