2016 MATRIX Annals
Editors:
Editorinchief: Wood, David R.
de Gier, Jan, Praeger, Cheryl E., Tao, Terence (Eds.)
 The book displays the research and activities of Australia's international and residential mathematics research institute, MATRIX
 Contains articles on hot topics in the first five major programs held at MATRIX in its first year, 2016
 Toplevel science from Australia
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 About this book

MATRIX is Australia’s international, residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each lasting 14 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 KKtheory
 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 highprofile 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 peerreviewed contributions and other contributions. The peerreviewed 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.
 About the authors

David R. Wood is coDirector 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 coDirector 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 at the University of Western Australia. She is former Foreign Secretary of the Australian Academy of Science, former MemberatLarge 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.
 Reviews

 Table of contents (27 chapters)


Homotopical Properties of the Simplicial Maurer–Cartan Functor
Pages 315

Fibrations in ∞Category Theory
Pages 1742

The Smooth HomStack of an Orbifold
Pages 4347

Complicial Sets, an Overture
Pages 4976

A Noncrossing Word Cooperad for Free Homotopy Probability Theory
Pages 7799

Table of contents (27 chapters)
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Bibliographic Information
 Bibliographic Information

 Book Title
 2016 MATRIX Annals
 Editors

 David R. Wood
 Jan de Gier
 Cheryl E. Praeger
 Terence Tao
 Series Title
 MATRIX Book Series
 Series Volume
 1
 Copyright
 2018
 Publisher
 Springer International Publishing
 Copyright Holder
 Springer International Publishing AG, part of Springer Nature
 eBook ISBN
 9783319722993
 DOI
 10.1007/9783319722993
 Hardcover ISBN
 9783319722986
 Softcover ISBN
 9783030101831
 Series ISSN
 25233041
 Edition Number
 1
 Number of Pages
 XXIX, 656
 Number of Illustrations
 219 b/w illustrations, 73 illustrations in colour
 Topics