2017 MATRIX Annals

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MATRIX is Australia’s international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1-4 weeks in duration. This book is a scientific record of the eight programs held at MATRIX in its second year, 2017: - Hypergeometric Motives and Calabi-Yau Differential Equations

• Computational Inverse Problems

• Integrability in Low-Dimensional Quantum Systems

• Elliptic Partial Differential Equations of Second Order: Celebrating 40 Years of Gilbarg and Trudinger’s Book

• Combinatorics, Statistical Mechanics, and Conformal Field Theory

• Mathematics of Risk

• Tutte Centenary Retreat

• Geometric R-Matrices: from Geometry to Probability

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