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Nine Mathematical Challenges : An Elucidation, Paperback / softback Book

Nine Mathematical Challenges : An Elucidation Paperback / softback

Edited by A. Kechris, N. Makarov, D. Ramakrishnan, X. Zhu

Part of the Proceedings of Symposia in Pure Mathematics series

Paperback / softback

Description

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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