Cover -- Series information -- Title page -- Copyright information -- Epigraph -- Contents -- List of contributors -- Introduction -- Part One Geometric Evolution Equations and Curvature Flow -- 1 Real Geometric Invariant Theory -- 1.1 Introduction -- 1.2 Examples -- 1.3 Comparison with Complex and Symplectic Case -- 1.4 The Abelian Case -- 1.5 Separation of Closed T-Invariant Sets -- 1.6 The General Case of Real Reductive Groups -- 1.7 Stratification -- 1.8 Properties of Critical Points of the Energy Map -- 1.9 Applications -- 1.10 Appendices -- 1.10.1 Real Reductive Lie Groups 1.10.2 The Parabolic Subgroup Q[sub(ß)] -- References -- 2 Convex Ancient Solutions to Mean Curvature Flow -- 2.1 Introduction -- 2.2 Asymptotics for Convex Ancient Solutions -- 2.3 X.-J. Wang's Dichotomy for Convex Ancient Solutions -- 2.4 Convex Ancient Solutions to Curve Shortening Flow -- 2.5 Rigidity of the Shrinking Sphere -- 2.6 Asymptotics for Convex Translators -- 2.7 X.-J. Wang's Dichotomy for Convex Translators -- 2.8 Rigidity of the Bowl Soliton -- References 4 A Mean Curvature Flow for Conformally Compact Manifolds -- 4.1 Introduction -- 4.2 Conformal Geometry and Hypersurfaces in Conformally Compact Manifolds -- 4.2.1 Conformal Manifolds -- 4.2.2 The Tractor Connection -- 4.2.3 Conformally Compact Manifolds -- 4.2.4 Hypersurfaces -- 4.2.5 A Hypersurface Flow for Conformally Compact Manifolds -- 4.2.6 Boundary Conditions -- 4.2.7 The Flow Problem -- 4.3 The Flow Problem -- 4.3.1 Treating the Flow as a Nonlinear Partial Differential Equation -- 4.3.2 Generalised Mean Curvature Flow in Hyperbolic Space -- 4.3.3 Long Time Existence and Convergence
Summary:
"The 2019 'Australian-German Workshop on Differential Geometry in the Large' represented an extraordinary cross section of topics across differential geometry, geometric analysis and differential topology. The two-week programme featured talks from prominent keynote speakers from across the globe, treating geometric evolution equations, structures on manifolds, non-negative curvature and Alexandrov geometry, and topics in differential topology. A joy to the expert and novice alike, this proceedings volume touches on topics as diverse as Ricci and mean curvature flow, geometric invariant theory, Alexandrov spaces, almost formality, prescribed Ricci curvature, and Kähler and Sasaki geometry"--Provided by publisher
Series:
London Mathematical Society lecture note series ; 463
This resource is supported by the Institute of Museum and Library Services under the provisions of the Library Services and Technology Act as administered by State Library of Iowa.