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Nine Mathematical Challenges: An Elucidation
 
Edited by: A. Kechris California Institute of Technology, Pasadena, CA
N. Makarov California Institute of Technology, Pasadena, CA
D. Ramakrishnan California Institute of Technology, Pasadena, CA
X. Zhu California Institute of Technology, Pasadena, CA
Nine Mathematical Challenges
Softcover ISBN:  978-1-4704-5490-6
Product Code:  PSPUM/104
List Price: $137.00
MAA Member Price: $123.30
AMS Member Price: $109.60
eBook ISBN:  978-1-4704-6746-3
Product Code:  PSPUM/104.E
List Price: $137.00
MAA Member Price: $123.30
AMS Member Price: $109.60
Softcover ISBN:  978-1-4704-5490-6
eBook: ISBN:  978-1-4704-6746-3
Product Code:  PSPUM/104.B
List Price: $274.00 $205.50
MAA Member Price: $246.60 $184.95
AMS Member Price: $219.20 $164.40
Nine Mathematical Challenges
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Nine Mathematical Challenges: An Elucidation
Edited by: A. Kechris California Institute of Technology, Pasadena, CA
N. Makarov California Institute of Technology, Pasadena, CA
D. Ramakrishnan California Institute of Technology, Pasadena, CA
X. Zhu California Institute of Technology, Pasadena, CA
Softcover ISBN:  978-1-4704-5490-6
Product Code:  PSPUM/104
List Price: $137.00
MAA Member Price: $123.30
AMS Member Price: $109.60
eBook ISBN:  978-1-4704-6746-3
Product Code:  PSPUM/104.E
List Price: $137.00
MAA Member Price: $123.30
AMS Member Price: $109.60
Softcover ISBN:  978-1-4704-5490-6
eBook ISBN:  978-1-4704-6746-3
Product Code:  PSPUM/104.B
List Price: $274.00 $205.50
MAA Member Price: $246.60 $184.95
AMS Member Price: $219.20 $164.40
  • Book Details
     
     
    Proceedings of Symposia in Pure Mathematics
    Volume: 1042021; 221 pp
    MSC: Primary 03; 14; 11; 20; 30; 35; 37; 57;

    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.

    Readership

    Graduate students and researchers interested in mathematics.

  • Table of Contents
     
     
    • Articles
    • Michael Aschbacher — The finite simple groups and their classification
    • Ashay A. Burungale, Christopher Skinner and Ye Tian — The Birch and Swinnerton-Dyer Conjecture: A brief survey
    • Hélène Esnault and Vasudevan Srinivas — Bounding ramification by covers and curves
    • Rupert L. Frank — The Lieb–Thirring inequalities: Recent results and open problems
    • Ursula Hamenstädt — Some topological properties of surface bundles
    • Philippe Michel — Some recents advances on Duke’s equidistribution theorems
    • A. Poltoratski — Gap and Type problems in Fourier analysis
    • Terence Tao — Quantitative bounds for critically bounded solutions to the Navier-Stokes equations
    • W. Hugh Woodin — The Continuum Hypothesis
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1042021; 221 pp
MSC: Primary 03; 14; 11; 20; 30; 35; 37; 57;

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.

Readership

Graduate students and researchers interested in mathematics.

  • Articles
  • Michael Aschbacher — The finite simple groups and their classification
  • Ashay A. Burungale, Christopher Skinner and Ye Tian — The Birch and Swinnerton-Dyer Conjecture: A brief survey
  • Hélène Esnault and Vasudevan Srinivas — Bounding ramification by covers and curves
  • Rupert L. Frank — The Lieb–Thirring inequalities: Recent results and open problems
  • Ursula Hamenstädt — Some topological properties of surface bundles
  • Philippe Michel — Some recents advances on Duke’s equidistribution theorems
  • A. Poltoratski — Gap and Type problems in Fourier analysis
  • Terence Tao — Quantitative bounds for critically bounded solutions to the Navier-Stokes equations
  • W. Hugh Woodin — The Continuum Hypothesis
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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