Proceedings of Symposia in Pure Mathematics Volume: 98;
2018; 294 pp; Hardcover
MSC: Primary 14; 58; 81;
Print ISBN: 978-1-4704-3515-8
This volume contains the proceedings of the conference String-Math 2016, which was held from June 27?July 2, 2016, at College de France, Paris, France.
String-Math is an annual conference covering the most significant progress at the interface of string theory and mathematics. The two fields have had a very fruitful dialogue over the last thirty years, with string theory contributing key ideas which have opened entirely new areas of mathematics and modern mathematics providing powerful concepts and tools to deal with the intricacies of string and quantum field theory.
The papers in this volume cover topics ranging from supersymmetric quantum field theories, topological strings, and conformal nets to moduli spaces of curves, representations, instantons, and harmonic maps, with applications to spectral theory and to the geometric Langlands program.
Advanced graduate students, mathematicians, and mathematical physicists interested in string theory.
Contemporary Mathematics Volume: 709;
2018; 158 pp; Softcover
MSC: Primary 05; 58; 37; 20; 14; 30; 46;
Print ISBN: 978-1-4704-4286-6
This volume contains the proceedings of the Second Workshop of Mexican Mathematicians Abroad (II Reunion de Matematicos Mexicanos en el Mundo), held from December 15?19, 2014, at Centro de Investigacion en Matematicas (CIMAT) in Guanajuato, Mexico.
This meeting was the second in a series of ongoing biannual meetings aimed at showcasing the research of Mexican mathematicians based outside of Mexico.
The book features articles drawn from eight broad research areas: algebra, analysis, applied mathematics, combinatorics, dynamical systems, geometry, probability theory, and topology. Their topics range from novel applications of non-commutative probability to graph theory, to interactions between dynamical systems and geophysical flows.
Several articles survey the fields and problems on which the authors work, highlighting research lines currently underrepresented in Mexico. The research-oriented articles provide either alternative approaches to well-known problems or new advances in active research fields. The wide selection of topics makes the book accessible to advanced graduate students and researchers in mathematics from different fields.
Graduate students and research mathematicians interested in graph theory, algebraic geometry and topology, dynamical systems, probability, and analysis.
Contemporary Mathematics Volume: 710;
2018; 242 pp; Softcover
MSC: Primary 35; 76;
Print ISBN: 978-1-4704-3646-9
This volume contains the proceedings of the International Conference on Vorticity, Rotation and Symmetry (IV)?Complex Fluids and the Issue of Regularity, held from May 8-12, 2017, in Luminy, Marseille, France.
The papers cover topics in mathematical fluid mechanics ranging from the classical regularity issue for solutions of the 3D Navier-Stokes system to compressible and non-Newtonian fluids, MHD flows and mixtures of fluids. Topics of different kinds of solutions, boundary conditions, and interfaces are also discussed.
Graduate students and research mathematicians interested in mathematical fluid mechanics.
Student Mathematical Library Volume: 86;
2018; 224 pp; Softcover
MSC: Primary 05;
Print ISBN: 978-1-4704-4039-8
One of the great appeals of Extremal Set Theory as a subject is that the statements are easily accessible without a lot of mathematical background, yet the proofs and ideas have applications in a wide range of fields including combinatorics, number theory, and probability theory. Written by two of the leading researchers in the subject, this book is aimed at mathematically mature undergraduates, and highlights the elegance and power of this field of study.
The first half of the book provides classic results with some new proofs
including a complete proof of the Ahlswede-Khachatrian theorem as well
as some recent progress on the Erd?s matching conjecture. The second half
presents some combinatorial structural results and linear algebra methods
including the Deza-Erdos-Frankl theorem, application of Rodl's packing
theorem, application of semidefinite programming, and very recent progress
(obtained in 2016) on the Erd?s?Szemeredi sunflower conjecture and capset
problem. The book concludes with a collection of challenging open problems
Undergraduate students interested in discrete mathematics and combinatorics.
Proceedings of Symposia in Pure Mathematics Volume: 99;
2018; 416 pp; Hardcover
MSC: Primary 32; 53; 57;
Print ISBN: 978-1-4704-4094-7
This book contains a collection of survey articles of exciting new developments in geometry, written in tribute to Simon Donaldson to celebrate his 60th birthday. Reflecting the wide range of Donaldson's interests and influence, the papers range from algebraic geometry and topology through symplectic geometry and geometric analysis to mathematical physics. Their expository nature means the book acts as an invitation to the various topics described, while also giving a sense of the links between these different areas and the unity of modern geometry.
Graduate students and researchers working in various aspects of geometry and applications of geometry to mathematical physics.