000838561 000__ 05495cam\a2200529Ii\4500 000838561 001__ 838561 000838561 005__ 20230306144549.0 000838561 006__ m\\\\\o\\d\\\\\\\\ 000838561 007__ cr\un\nnnunnun 000838561 008__ 180413s2018\\\\sz\\\\\\o\\\\\000\0\eng\d 000838561 019__ $$a1034540769$$a1038453169 000838561 020__ $$a9783319722993$$q(electronic book) 000838561 020__ $$a3319722999$$q(electronic book) 000838561 020__ $$z9783319722986 000838561 0247_ $$a10.1007/978-3-319-72299-3$$2doi 000838561 035__ $$aSP(OCoLC)on1031214412 000838561 035__ $$aSP(OCoLC)1031214412$$z(OCoLC)1034540769$$z(OCoLC)1038453169 000838561 040__ $$aN$T$$beng$$erda$$epn$$cN$T$$dN$T$$dGW5XE$$dEBLCP$$dOCLCF$$dAZU$$dUPM$$dFIE$$dUAB$$dOCLCQ 000838561 049__ $$aISEA 000838561 050_4 $$aQA11.A1 000838561 08204 $$a510.71$$223 000838561 24500 $$a2016 MATRIX annals /$$cDavid R. Wood, editor-in-chief ; Jan de Gier, Cheryl E. Praeger, Terence Tao, editors. 000838561 264_1 $$aCham, Switzerland :$$bSpringer,$$c2018. 000838561 300__ $$a1 online resource. 000838561 336__ $$atext$$btxt$$2rdacontent 000838561 337__ $$acomputer$$bc$$2rdamedia 000838561 338__ $$aonline resource$$bcr$$2rdacarrier 000838561 347__ $$atext file$$bPDF$$2rda 000838561 4901_ $$aMATRIX book series ;$$v1 000838561 5050_ $$aIntro; Preface; 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; Contents; Part I Refereed Articles; Homotopical Properties of the Simplicial Maurer-Cartan Functor; 1 Introduction; 2 Preliminaries; 2.1 Filtered L∞-Algebras; 2.2 Maurer-Cartan Elements; 2.3 Getzler-Hinich Construction; 3 The Functor sMC(-) Preserves Weak Equivalences and Fibrations 000838561 5058_ $$a4 Homotopy Transfer TheoremReferences; Fibrations in ∞-Category Theory; 1 Introduction; 2 Left, Right, and Kan Fibrations; 3 Inner Fibrations and Isofibrations; 4 Cocartesian and Cartesian Fibrations; 5 Flat Inner Fibrations; 6 Marked Simplicial Sets and Categorical Patterns; 7 Constructing Fibrations via Additional Functoriality; References; The Smooth Hom-Stack of an Orbifold; References; Complicial Sets, an Overture; 1 Introduction; 2 Introducing Complicial Sets; 2.1 Quasi-Categories as (∞,1)-Categories; 2.2 Towards a Simplicial Model of (∞,2)-Categories; 2.3 Stratified Simplicial Sets 000838561 5058_ $$a3 Words and Their Cooperads3.1 Words; 3.2 The Word Cooperad; 3.3 The Non-crossing Word Cooperad; 4 Review of (Homotopy) Probability Theory; 4.1 Review of Homotopy Probability Theory; 4.2 Review of Free Cumulants; 5 The Non-crossing Word Cooperad and Free Probability Theory; References; Endomorphisms of Lie Groups over Local Fields; 1 Introduction; 2 Some Basics of Totally Disconnected Groups; 3 Endomorphisms of K-Vector Spaces; 4 Analytic Functions, Manifolds and Lie Groups; 5 Construction of Small Open Subgroups; 6 Endomorphisms of p-Adic Lie Groups; 7 Invariant Manifolds Around Fixed Points 000838561 5058_ $$a8 Endomorphisms of Lie Groups over K9 Contractive Automorphisms; 10 Expansive Automorphisms; 11 Distality and Lie Groups of Type R; References; Compact Convex Sets with Prescribed Facial Dimensions; 1 Introduction; 2 Main Result; 3 Fractal Convex Sets; References; Chebyshev Multivariate Polynomial Approximation: Alternance Interpretation; 1 Introduction; 2 Optimality Conditions; 2.1 Convexity of the Objective; 2.2 Optimality Conditions: General Case; 2.3 Optimality Conditions for Multivariate Linear Functions; 3 Conclusions and Further Research Directions; References; Spectral Triples on ON 000838561 506__ $$aAccess limited to authorized users. 000838561 520__ $$aMATRIX is Australia’s international, residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each lasting 1-4 weeks. This book is a scientific record of the five programs held at MATRIX in its first year, 2016: Higher Structures in Geometry and Physics (Chapters 1-5 and 18-21); Winter of Disconnectedness (Chapter 6 and 22-26); Approximation and Optimisation (Chapters 7-8); Refining C*-Algebraic Invariants for Dynamics using KK-theory (Chapters 9-13); Interactions between Topological Recursion, Modularity, Quantum Invariants and Low-dimensional Topology (Chapters 14-17 and 27). The MATRIX Scientific Committee selected these programs based on their scientific excellence and the participation rate of high-profile international participants. Each program included ample unstructured time to encourage collaborative research; some of the longer programs also included an embedded conference or lecture series. The articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on selected topics related to the MATRIX program; the remaining contributions are predominantly lecture notes based on talks or activities at MATRIX. 000838561 588__ $$aOnline resource; title from PDF title page (viewed April 16, 2018). 000838561 650_0 $$aMathematics$$xResearch. 000838561 7001_ $$aWood, David R.,$$eeditor. 000838561 7001_ $$aGier, Jan de,$$eeditor. 000838561 7001_ $$aPraeger, Cheryl E.,$$d1948-$$eeditor. 000838561 7001_ $$aTao, Terence,$$d1975-$$eeditor. 000838561 77608 $$iPrint version: $$z9783319722986 000838561 830_0 $$aMATRIX book series ;$$v1. 000838561 852__ $$bebk 000838561 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-72299-3$$zOnline Access$$91397441.1 000838561 909CO $$ooai:library.usi.edu:838561$$pGLOBAL_SET 000838561 980__ $$aEBOOK 000838561 980__ $$aBIB 000838561 982__ $$aEbook 000838561 983__ $$aOnline 000838561 994__ $$a92$$bISE