Nine mathematical challenges : an elucidation : Linde Hall Inaugural Math Symposium, February 22-24, 2019, California Institute of Technology, Pasadena, California
著者
書誌事項
Nine mathematical challenges : an elucidation : Linde Hall Inaugural Math Symposium, February 22-24, 2019, California Institute of Technology, Pasadena, California
（Proceedings of symposia in pure mathematics, v. 104）
American Mathematical Society, c2021
- : pbk
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注記
Other editors: N. Makarov, D. Ramakrishnan, X. Zhu
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
M. Aschbacher, The finite simple groups and their classification
A. A. Burungale, C. Skinner, and Y. Tian, The Birch and Swinnerton-Dyer Conjecture: A brief survey
H. Esnault and V. Srinivas, Bounding ramification by covers and curves
R. L. Frank, The Lieb-Thirring inequalities: Recent results and open problems
U. Hamenstadt, Some topological properties of surface bundles
P. Michel, Some recent advances on Duke's equidistribution theorems
A. Poltoratski, Gap and Type problems in Fourier analysis
T. Tao, Quantitative bounds for critically bounded solutions to the Navier-Stokes equations
W. H. Woodin, The Continuum Hypothesis
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