Modern Aspects of Random Matrix Theory (Proceedings of Symposia in Applied Mathematics)

Vu, Van H.

ISBN 10: 0821894714 / ISBN 13: 9780821894712

Published by American Mathematical Society, 2014

About this Item

4to (26 cm), VIII, 174 pp. Publisher's cloth. "This volume contains the proceedings of the 2016 AMS von Neumann Symposium on Topological Recursion and its Influence in Analysis, Geometry, and Topology, which was held from July 4 8, 2016, at the Hilton Charlotte University Place, Charlotte, North Carolina. The papers contained in the volume present a snapshot of rapid and rich developments in the emerging research field known as topological recursion. It has its origin around 2004 in random matrix theory and also in Mirzakhani's work on the volume of moduli spaces of hyperbolic surfaces. Topological recursion has played a fundamental role in connecting seemingly unrelated areas of mathematics such as matrix models, enumeration of Hurwitz numbers and Grothendieck's dessins d'enfants, Gromov-Witten invariants, the A-polynomials and colored polynomial invariants of knots, WKB analysis, and quantization of Hitchin moduli spaces. In addition to establishing these topics, the volume includes survey papers on the most recent key accomplishments: discovery of the unexpected relation to semi-simple cohomological field theories and a solution to the remodeling conjecture. It also provides a glimpse into the future research direction; for example, connections with the Airy structures, modular functors, Hurwitz-Frobenius manifolds, and ELSV-type formulas." (publisher's synopsis).

Seller Inventory # 008532

Bibliographic Details

• Title: Modern Aspects of Random Matrix Theory (Proceedings of Symposia in Applied Mathematics)
• Publisher: American Mathematical Society
• Publication Date: 2014
• Language: English
• ISBN 10: 0821894714
• ISBN 13: 9780821894712
• Binding: Hardcover
• Condition: New
• Seller catalogs:
  • Science
  • Mathematics

About this title

Synopsis

The theory of random matrices is an amazingly rich topic in mathematics. Random matrices play a fundamental role in various areas such as statistics, mathematical physics, combinatorics, theoretical computer science, number theory and numerical analysis. This volume is based on lectures delivered at the 2013 AMS Short Course on Random Matrices, held January 6-7, 2013 in San Diego, California. Included are surveys by leading researchers in the field, written in introductory style, aiming to provide the reader a quick and intuitive overview of this fascinating and rapidly developing topic. These surveys contain many major recent developments, such as progress on universality conjectures, connections between random matrices and free probability, numerical algebra, combinatorics and high-dimensional geometry, together with several novel methods and a variety of open questions.

About the Author

Van H. Vu, Yale University, New Haven, CT.