Extended Abstracts Fall 2013: Geometrical Analysis; Type Theory, Homotopy Theory and Univalent Foundations (Trends in Mathematics)

ISBN 10: 3319212834 / ISBN 13: 9783319212838

Edité par Birkhäuser, 2015

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N° de réf. du vendeur I-9783319212838

Détails bibliographiques

• Titre: Extended Abstracts Fall 2013: Geometrical Analysis; Type Theory, Homotopy Theory and Univalent Foundations (Trends in Mathematics)
• Éditeur: Birkhäuser
• Date de parution: 2015
• Langue: anglais
• ISBN à 10 chiffres: 3319212834
• ISBN à 13 chiffres: 9783319212838
• Reliure: Couverture souple
• État de l'article: New

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Synopsis

Part I: Conference on Geometrical Analysis.- Foreword.- A Positive Mass Theorem in Three Dimensional Cauchy-Riemann Geometry.- On the Rigidity of Gradient Ricci Solitons.- Geometric Structures Modeled on Affine Hypersurfaces and Generalizations of the Einstein-Weyl and Affine Sphere Equations.- Submanifold Conformal Invariants and a Boundary Yamabe Problem.- Variation of the Total Q-Prime Curvature in CR Geometry.- Conformal Invariants from Nullspaces of Conformally Invariant Operators.- Rigidity of Bach-Flat Manifolds.- Uniformizing Surfaces with Conical Singularities.- Recent Results and Open Problems on Conformal Metrics on Rn with Constant Q-Curvature.- Isoperimetric Inequalities for Complete Proper Minimal Submanifolds in Hyperbolic Space.- Total Curvature of Complete Surfaces in Hyperbolic Space.- Constant Scalar Curvature Metrics on Hirzebruch Surfaces.- Isoperimetric Inequalities for Extremal Sobolev Functions.- Part II: Type Theory, Homotopy Theory and Univalent Foundations.- Foreword.- Univalent Categories and the Rezk Completion.- Covering Spaces in Homotopy Type Theory.- Towards a Topological Model of Homotopy Type Theory.- Made-to-Order Weak Factorization Systems.- A Descent Property for the Univalent Foundations.- Classical Field Theory via Cohesive Homotopy Types.- How Intensional is Homotopy Type Theory.