2016 MATRIX Annals

1. Auflage 2018
ISBN: 978-3-319-72298-6
Verlag: Springer International Publishing

Buch, Englisch, Band 1, 656 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1185 g

Reihe: MATRIX Book Series

MATRIX is Australia’s international, residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each lasting 1-4 weeks. This book is a scientific record of the five programs held at MATRIX in its first year, 2016: 

- Higher Structures in Geometry and Physics 

- Winter of Disconnectedness 

- Approximation and Optimisation 

- Refining C*-Algebraic Invariants for Dynamics using KK-theory 

- Interactions between Topological Recursion, Modularity, Quantum Invariants and Low- dimensional Topology 

The MATRIX Scientific Committee selected these programs based on their scientific excellence and the participation rate of high-profile international participants. Each program included ample unstructured time to encourage collaborative research; some of the longer programs also included an embedded conference or lecture series.

The articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on selected topics related to the MATRIX program; the remaining contributions are predominantly lecture notes based on talks or activities at MATRIX.

Zielgruppe

Research

Autoren/Hrsg.

de Gier, Jan

Tao, Terence

Praeger, Cheryl E.

Weitere Mitwirkende

Wood, David R.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Algebra Homologische Algebra
• Mathematik | Informatik Mathematik Topologie
• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie

Inhaltsverzeichnis

Part I Refereed Articles: 1 Higher Structures in Geometry and Physics.- 2 Winter of Disconnectedness.- 3 Approximation and Optimisation.- 4 Refining C* Algebraic Invariants for Dynamics using KK-Theory.- 5 Interactions between Topological Recursion, Modularity, Quantum Invariants and Low-dimensional Topology.- Part II Other Contributed Articles: 6 Higher Structures in Geometry and Physics.- 7 Winter of Disconnectedness.- 8 Interactions between Topological Recursion, Modularity, Quantum Invariants and Low-dimensional Topology.

Über Autor(innen)

David R. Wood is co-Director of MATRIX, and Professor in the Discrete Mathematics Research Group of the School of Mathematical Sciences at Monash University. David’s research interests are in discrete mathematics and theoretical computer science, especially structural graph theory, extremal graph theory, geometric graph theory, graph colouring, and combinatorial geometry.

Jan de Gier is co-Director of MATRIX, and Professor and Head of the School of Mathematics and Statistics at the University of Melbourne. He is also Chief Investigator of the ARC Centre of Excellence for Mathematical and Statistical Frontiers. Jan’s main research areas are mathematical physics, statistical mechanics, interacting particle systems, solvable lattice models, representation theory and multivariable polynomials. He also studies applications of stochastic particle systems to real world traffic modelling.

Cheryl Praeger AM FAA is Emeritus Professor of Mathematics atthe University of Western Australia. She is former Foreign Secretary of the Australian Academy of Science, former Member-at-Large of the Executive of the International Mathematical Union, former ARC Federation Fellow, and was the inaugural Director of the UWA Centre for the Mathematics of Symmetry and Computation. Cheryl’s research has focused on the theory of group actions and their applications in algebraic graph theory and for combinatorial designs; and algorithms for group computation including questions in statistical group theory and algorithmic complexity.

Terence Tao FAA FRS is an Australian-American mathematician who works in harmonic analysis, partial differential equations, algebraic combinatorics, arithmetic combinatorics, geometric combinatorics, compressed sensing and analytic number theory. He holds the James and Carol Collins chair in mathematics at the University of California, Los Angeles. Tao was a co t of the 2006 Fields Medal and the 2014Breakthrough Prize in Mathematics.