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.

Linde Hall Inaugural Math Symposium (2019 : California Institute of Technology, Pasadena, Calif.) [Browse]
  • Providence, Rhode Island : American Mathematical Society, [2021]
  • ©2021
1 online resource


  • 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.
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  • 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.
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