Topological Recursion and Its Influence in Analysis, Geometry, and Topology: 2016 Ams Von Neumann Symposium Topological Recursion and Its Influence in ... July 4-8, 2016 Charlotte, North Carolina - Couverture rigide

 
9781470435417: Topological Recursion and Its Influence in Analysis, Geometry, and Topology: 2016 Ams Von Neumann Symposium Topological Recursion and Its Influence in ... July 4-8, 2016 Charlotte, North Carolina
Couverture rigide
ISBN 10 : 1470435411 ISBN 13 : 9781470435417
Editeur : American Mathematical Society, 2018

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Chiu-Chu Melissa Liu, Columbia University, New York, NY.

Motohico Mulase, University of California, Davis, CA.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2018
Langue
anglais
ISBN 10 
1470435411
ISBN 13 
9781470435417
Reliure
Relié
Nombre de pages
561
Éditeur
Liu Chiu-Chu Melissa, Mulase Motohico
Coordonnées du fabricant
non disponible
Personne responsable
non disponible