Contemporary Mathematics, Volume: 667; 2016; 316 pp; Softcover
MSC: Primary 30; 31; 32; 37; 49; 51; 76;
Print ISBN: 978-1-4704-1703-1
This volume contains the proceedings of the Sixth International Conference
on Complex Analysis and Dynamical Systems, held from May 19-24, 2013, in
Nahariya, Israel, in honor of David Shoikhet's sixtieth birthday.
The papers range over a wide variety of topics in complex analysis, quasiconformal mappings, and complex dynamics. Taken together, the articles provide the reader with a panorama of activity in these areas, drawn by a number of leading figures in the field. They testify to the continued vitality of the interplay between classical and modern analysis.
The companion volume (Contemporary Mathematics, Volume 653) is devoted to partial differential equations, differential geometry, and radon transforms.
Collected Works, Volume: 24
Hardcover
Print ISBN: 978-0-8218-9091-2
In these volumes, a reader will find all of John Tate's published mathematical papers?spanning more than six decades?enriched by new comments made by the author. Included also is a selection of his letters. His letters give us a close view of how he works and of his ideas in process of formation.
Graduate students and research mathematicians interested in algebraic geometry and number theory.
University Lecture Series, Volume: 64
2016; 273 pp; Softcover
Print ISBN: 978-1-4704-2890-7
This book explains some recent applications of the theory of polynomials and algebraic geometry to combinatorics and other areas of mathematics. One of the first results in this story is a short elegant solution of the Kakeya problem for finite fields, which was considered a deep and difficult problem in combinatorial geometry. The author also discusses in detail various problems in incidence geometry associated to Paul Erd?s's famous distinct distances problem in the plane from the 1940s. The proof techniques are also connected to error-correcting codes, Fourier analysis, number theory, and differential geometry. Although the mathematics discussed in the book is deep and far-reaching, it should be accessible to first- and second-year graduate students and advanced undergraduates. The book contains approximately 100 exercises that further the reader's understanding of the main themes of the book -
Graduate students and research mathematicians interested in combinatorial incidence geometry, algebraic geometry, and harmonic analysis.
Proceedings of Symposia in Pure Mathematics, Volume: 92
2016; 355 pp; Hardcover
Print ISBN: 978-1-4704-1844-1
This book contains the proceedings of the 2012?2014 Southeastern Lie Theory Workshop Series held at North Carolina State University in April 2012, at College of Charleston in December 2012, at Louisiana State University in May 2013, and at University of Georgia in May 2014.
Some of the articles by experts in the field survey recent developments while others include new results in representations of Lie algebras, and quantum groups, vertex (operator) algebras and Lie superalgebras.
Proceedings of Symposia in Pure Mathematics, Volume: 93
2016; 396 pp; Hardcover
Print ISBN: 978-1-4704-1992-9
The conference String-Math 2014 was held from June 9?13, 2014, at the University of Alberta. This edition of String-Math is the first to include satellite workshops: “String-Math Summer School” (held from June 2?6, 2014, at the University of British Columbia), “Calabi-Yau Manifolds and their Moduli” (held from June 14?18, 2014, at the University of Alberta), and “Quantum Curves and Quantum Knot Invariants” (held from June 16?20, 2014, at the Banff International Research Station). This volume presents the proceedings of the conference and satellite workshops.
For mathematics, string theory has been a source of many significant inspirations, ranging from Seiberg-Witten theory in four-manifolds, to enumerative geometry and Gromov-Witten theory in algebraic geometry, to work on the Jones polynomial in knot theory, to recent progress in the geometric Langlands program and the development of derived algebraic geometry and n-category theory. In the other direction, mathematics has provided physicists with powerful tools, ranging from powerful differential geometric techniques for solving or analyzing key partial differential equations, to toric geometry, to K-theory and derived categories in D-branes, to the analysis of Calabi-Yau manifolds and string compactifications, to modular forms and other arithmetic techniques. Articles in this book address many of these topics.
Advanced graduate students, post-docs, and most Ph.D. mathematicians and mathematical physicists interested in string theory and quantum field theory.