The Resource 2016 MATRIX annals, David R. Wood, editorinchief ; Jan de Gier, Cheryl E. Praeger, Terence Tao, editors, (electronic book)
2016 MATRIX annals, David R. Wood, editorinchief ; Jan de Gier, Cheryl E. Praeger, Terence Tao, editors, (electronic book)
Resource Information
The item 2016 MATRIX annals, David R. Wood, editorinchief ; Jan de Gier, Cheryl E. Praeger, Terence Tao, editors, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item 2016 MATRIX annals, David R. Wood, editorinchief ; Jan de Gier, Cheryl E. Praeger, Terence Tao, editors, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
 Summary
 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 (Chapters 15 and 1821); Winter of Disconnectedness (Chapter 6 and 2226); Approximation and Optimisation (Chapters 78); Refining C*Algebraic Invariants for Dynamics using KKtheory (Chapters 913); Interactions between Topological Recursion, Modularity, Quantum Invariants and Lowdimensional Topology (Chapters 1417 and 27). 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
 Language
 eng
 Extent
 1 online resource.
 Contents

 Intro; Preface; 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 LowDimensional Topology; Contents; Part I Refereed Articles; Homotopical Properties of the Simplicial MaurerCartan Functor; 1 Introduction; 2 Preliminaries; 2.1 Filtered L∞Algebras; 2.2 MaurerCartan Elements; 2.3 GetzlerHinich Construction; 3 The Functor sMC() Preserves Weak Equivalences and Fibrations
 4 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 HomStack of an Orbifold; References; Complicial Sets, an Overture; 1 Introduction; 2 Introducing Complicial Sets; 2.1 QuasiCategories as (∞,1)Categories; 2.2 Towards a Simplicial Model of (∞,2)Categories; 2.3 Stratified Simplicial Sets
 3 Words and Their Cooperads3.1 Words; 3.2 The Word Cooperad; 3.3 The Noncrossing Word Cooperad; 4 Review of (Homotopy) Probability Theory; 4.1 Review of Homotopy Probability Theory; 4.2 Review of Free Cumulants; 5 The Noncrossing 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 KVector Spaces; 4 Analytic Functions, Manifolds and Lie Groups; 5 Construction of Small Open Subgroups; 6 Endomorphisms of pAdic Lie Groups; 7 Invariant Manifolds Around Fixed Points
 8 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
 Isbn
 9783319722993
 Label
 2016 MATRIX annals
 Title
 2016 MATRIX annals
 Statement of responsibility
 David R. Wood, editorinchief ; Jan de Gier, Cheryl E. Praeger, Terence Tao, editors
 Language
 eng
 Summary
 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 (Chapters 15 and 1821); Winter of Disconnectedness (Chapter 6 and 2226); Approximation and Optimisation (Chapters 78); Refining C*Algebraic Invariants for Dynamics using KKtheory (Chapters 913); Interactions between Topological Recursion, Modularity, Quantum Invariants and Lowdimensional Topology (Chapters 1417 and 27). 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
 Cataloging source
 N$T
 Dewey number
 510.71
 Index
 no index present
 LC call number
 QA11.A1
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorDate

 1948
 1975
 http://library.link/vocab/relatedWorkOrContributorName

 Wood, David R.
 Gier, Jan de
 Praeger, Cheryl E.
 Tao, Terence
 http://library.link/vocab/subjectName

 Mathematics
 KTheory
 Topology
 Label
 2016 MATRIX annals, David R. Wood, editorinchief ; Jan de Gier, Cheryl E. Praeger, Terence Tao, editors, (electronic book)
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Intro; Preface; 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 LowDimensional Topology; Contents; Part I Refereed Articles; Homotopical Properties of the Simplicial MaurerCartan Functor; 1 Introduction; 2 Preliminaries; 2.1 Filtered L∞Algebras; 2.2 MaurerCartan Elements; 2.3 GetzlerHinich Construction; 3 The Functor sMC() Preserves Weak Equivalences and Fibrations
 4 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 HomStack of an Orbifold; References; Complicial Sets, an Overture; 1 Introduction; 2 Introducing Complicial Sets; 2.1 QuasiCategories as (∞,1)Categories; 2.2 Towards a Simplicial Model of (∞,2)Categories; 2.3 Stratified Simplicial Sets
 3 Words and Their Cooperads3.1 Words; 3.2 The Word Cooperad; 3.3 The Noncrossing Word Cooperad; 4 Review of (Homotopy) Probability Theory; 4.1 Review of Homotopy Probability Theory; 4.2 Review of Free Cumulants; 5 The Noncrossing 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 KVector Spaces; 4 Analytic Functions, Manifolds and Lie Groups; 5 Construction of Small Open Subgroups; 6 Endomorphisms of pAdic Lie Groups; 7 Invariant Manifolds Around Fixed Points
 8 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
 Extent
 1 online resource.
 Form of item
 online
 Isbn
 9783319722993
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319722993
 System control number

 (OCoLC)1031214412
 on1031214412
 Label
 2016 MATRIX annals, David R. Wood, editorinchief ; Jan de Gier, Cheryl E. Praeger, Terence Tao, editors, (electronic book)
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Intro; Preface; 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 LowDimensional Topology; Contents; Part I Refereed Articles; Homotopical Properties of the Simplicial MaurerCartan Functor; 1 Introduction; 2 Preliminaries; 2.1 Filtered L∞Algebras; 2.2 MaurerCartan Elements; 2.3 GetzlerHinich Construction; 3 The Functor sMC() Preserves Weak Equivalences and Fibrations
 4 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 HomStack of an Orbifold; References; Complicial Sets, an Overture; 1 Introduction; 2 Introducing Complicial Sets; 2.1 QuasiCategories as (∞,1)Categories; 2.2 Towards a Simplicial Model of (∞,2)Categories; 2.3 Stratified Simplicial Sets
 3 Words and Their Cooperads3.1 Words; 3.2 The Word Cooperad; 3.3 The Noncrossing Word Cooperad; 4 Review of (Homotopy) Probability Theory; 4.1 Review of Homotopy Probability Theory; 4.2 Review of Free Cumulants; 5 The Noncrossing 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 KVector Spaces; 4 Analytic Functions, Manifolds and Lie Groups; 5 Construction of Small Open Subgroups; 6 Endomorphisms of pAdic Lie Groups; 7 Invariant Manifolds Around Fixed Points
 8 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
 Extent
 1 online resource.
 Form of item
 online
 Isbn
 9783319722993
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319722993
 System control number

 (OCoLC)1031214412
 on1031214412
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