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.
By: Kechris, A [editor.] | Linde Hall Inaugural Math Symposium (2019 : California Institute of Technology, Pasadena, Calif.) [author.].
Contributor(s): Kechris, A. S [editor.] | Makarov, Nikolai G [editor.] | Ramakrishnan, Dinakar [editor.] | Zhu, X. (Xinwen) [editor.].Material type: TextSeries: Proceedings of symposia in pure mathematics, volume 104.Publisher: Providence, Rhode Island : American Mathematical Society, Description: ix, 221 pages : USD 137.00 illustrations ; 26 cm.Content type: text Media type: unmediated Carrier type: volumeISBN: 9781470454906.Subject(s): Mathematics -- Congresses | Mathematical logic and foundations -- Set theory | Algebraic geometry -- (Co)homology theory in algebraic geometry | Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Elliptic curves over global fields | Group theory and generalizations -- Abstract finite groups -- Finite simple groups and their classification | Functions of a complex variable -- General properties of functions of one complex variable-- None of the above, but in this section | Partial differential equations -- Spectral theory and eigenvalue problems for partial differential equations -- Estimates of eigenvalues in context of PDEs | Partial differential equations -- Equations of mathematical physics and other areas of application -- PDEs in connection with fluid mechanics | Dynamical systems and ergodic theory -- Ergodic theory -- Homogeneous flows | Manifolds and cell complexes -- Differential topology -- Topology of vector bundles and fiber bundlesDDC classification: 510.5 Other classification: 03Exx | 14Fxx | 11G05 | 20D05 | 30A99 | 35P15 | 35Q35 | 37A17 | 57R22
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Includes bibliographical references.
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.