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Extended Abstracts Fall 2013: Geometrical Analysis; Type Theory, Homotopy Theory and Univalent Foundations
González, Maria Del Mar ; Yang, Paul C. ; Gambino, Nicola (Author)
·
Birkhauser
· Paperback
Extended Abstracts Fall 2013: Geometrical Analysis; Type Theory, Homotopy Theory and Univalent Foundations - González, Maria del Mar ; Yang, Paul C. ; Gambino, Nicola
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Synopsis "Extended Abstracts Fall 2013: Geometrical Analysis; Type Theory, Homotopy Theory and Univalent Foundations"
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.
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The book is written in English.
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