English | PDF | 2018 | 667 Pages | ISBN : 3319722980 | 15.29 MB
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 (Chapters 1-5 and 18-21);
Winter of Disconnectedness (Chapter 6 and 22-26);
Approximation and Optimisation (Chapters 7-8);
Refining C*-Algebraic Invariants for Dynamics using KK-theory (Chapters 9-13);
Interactions between Topological Recursion, Modularity, Quantum Invariants and Low-dimensional Topology (Chapters 14-17 and 27).
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.