Nine mathematical challenges : an elucidation : Linde Hall Inaugural Math Symposium, February 22-24, 2019, California Institute of Technology, Pasadena, California / A. Kechris, N. Makarov, D. Ramakrishnan, X. Zhu, editors.

Author
Linde Hall Inaugural Math Symposium (2019 : California Institute of Technology, Pasadena, Calif.) [Browse]
Format
Book
Language
English
Published/​Created
  • Providence, Rhode Island : American Mathematical Society, [2021]
  • ©2021
Description
1 online resource

Details

Subject(s)
Editor
Series
  • Proceedings of Symposia in Pure Mathematics ; v. 104. [More in this series]
  • Proceedings of symposia in pure mathematics, 2324-707X ; v. 104
Summary note
This volume stems from the Linde Hall Inaugural Math Symposium, held from February 22-24, 2019, at California Institute of Technology, Pasadena, California.The content isolates and discusses nine mathematical problems, or sets of problems, in a deep way, but starting from scratch. Included among them are the well-known problems of the classification of finite groups, the Navier-Stokes equations, the Birch and Swinnerton-Dyer conjecture, and the continuum hypothesis. The other five problems, also of substantial importance, concern the Lieb-Thirring inequalities, the equidistribution problems in number theory, surface bundles, ramification in covers and curves, and the gap and type problems in Fourier analysis. The problems are explained succinctly, with a discussion of what is known and an elucidation of the outstanding issues. An attempt is made to appeal to a wide audience, both in terms of the field of expertise and the level of the reader.
Bibliographic references
Includes bibliographical references.
Source of description
Description based on publisher supplied metadata and other sources.
Contents
  • The finite simple groups and their classification / Michael Aschbacher
  • Recent progress on the Birch and Swinnerton-Dyer conjecture / Ashay Burungale, Christopher Skinner and Ye Tian
  • Bounding ramification by covers and curves / Hélène Esnault and Vasudevan Srinivas
  • The Lieb-Thirring inequalities : recent results and open problems / Rupert Frank
  • Some topological properties of surface bundles / Ursula Hämenstadt
  • Some recent advances on Duke's equidistribution theorems / Philippe Michel
  • Gap and type problems in Fourier analysis / Alex Poltoratski
  • Quantitative bounds for critically bounded solutions to the Navier-Stokes equations / Terry Tao
  • The continuum hypothesis / W. Hugh Woodin.
ISBN
1-4704-6746-1
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