Nine mathematical challenges : an elucidation : Linde Hall Inaugural Math Symposium, February 22-24, 2019, California Institute of Technology, Pasadena, California

Author(s)

• Linde Hall Inaugural Math Symposium
• Kechris, Alexander S.
• Makarov, N.
• Ramakrishnan, Dinakar
• Zhu, X.

Bibliographic Information

Nine mathematical challenges : an elucidation : Linde Hall Inaugural Math Symposium, February 22-24, 2019, California Institute of Technology, Pasadena, California

A. Kechris ... [et al.], editors

（Proceedings of symposia in pure mathematics, v. 104）

American Mathematical Society, c2021

• : pbk

Note

Other editors: N. Makarov, D. Ramakrishnan, X. Zhu

Includes bibliographical references

Description and Table of Contents

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.

Table of Contents

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

by "Nielsen BookData"

Details

• NCID: BC08596897
• ISBN:
  • 9781470454906
• LCCN: 2021023568
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Providence, R.I.
• Pages/Volumes: ix, 221 p.
• Size: 26 cm
• Classification:
  • LCC : QA1
  • DC23 : 510.5
• Subject Headings:
  • LCSH : Mathematics -- Congresses
  • FREE : Mathematical logic and foundations -- Set theory. msc
  • FREE : Algebraic geometry -- (Co)homology theory in algebraic geometry. msc
  • FREE : Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Elliptic curves over global fields. msc
  • FREE : Group theory and generalizations -- Abstract finite groups -- Finite simple groups and their classification. msc
  • FREE : Functions of a complex variable -- General properties of functions of one complex variable-- None of the above, but in this section. msc
  • FREE : Partial differential equations -- Spectral theory and eigenvalue problems for partial differential equations -- Estimates of eigenvalues in context of PDEs. msc
  • FREE : Partial differential equations -- Equations of mathematical physics and other areas of application -- PDEs in connection with fluid mechanics. msc
  • FREE : Dynamical systems and ergodic theory -- Ergodic theory -- Homogeneous flows. msc
  • FREE : Manifolds and cell complexes -- Differential topology -- Topology of vector bundles and fiber bundles. msc
• Parent Bibliography ID:
  • BA00018892