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Opening Remarks 01-Jul-2024 08:50 AM PDT - 01-Jul-2024 09:00 AM PDT
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H-principles in smooth topology: 1) h-principle philosophy, examples, and holonomic approximation statement
Date: July 01, 2024
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Riemannian geometry and applications to fluid dynamics: The Nash-Kuiper theorem 1: historical background, proof idea and "stage" proposition
Date: July 01, 2024
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H-principles in smooth topology: 2) Proof of holonomic approximation, and applications
Date: July 02, 2024
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Riemannian geometry and applications to fluid dynamics: The Nash-Kuiper theorem 2: decomposition into primitive metrics, normal vector fields and proof of the stage proposition
Date: July 02, 2024
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H-principles in smooth topology 3): Convex integration, directed immersions
Date: July 03, 2024
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Riemannian geometry and applications to fluid dynamics: The Nash-Kuiper theorem 3: "quantitative" version of stage proposition and C^{1,\alpha} isometries
Date: July 03, 2024
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H-principles in smooth topology: 4) Wrinkled maps
Date: July 04, 2024
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Riemannian geometry and applications to fluid dynamics: 4) Euler equations: weak solutions, energy conservation and the Euler-Reynolds system
Date: July 04, 2024
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H-principles in smooth topology: 5) Convex integration and wrinkling for embeddings
Date: July 05, 2024
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Riemannian geometry and applications to fluid dynamics: 5) Euler equations: convex integration scheme for continuous dissipative Euler flows
Date: July 05, 2024
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Contact and symplectic flexibility: 1) Intro to contact and symplectic geometry
Date: July 08, 2024
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Foliation theory and diffeomorphism groups: 1) Definitions of foliations and examples. Foliations of the 2-dimensional torus
Date: July 08, 2024
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Contact and symplectic flexibility: 2) h-principles for isotropic immersions/embeddings, isosymplectic/isocontac
Date: July 09, 2024
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Foliation theory and diffeomorphism groups: 2) Invariants of plane fields. Holonomy of foliations. The Bott vanishing theorem. The Godbillon-Vey invariant
Date: July 09, 2024
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Contact and symplectic flexibility: 3) Overtwisted 3-manifolds
Date: July 10, 2024
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Foliation theory and diffeomorphism groups: 3) The h-principle for Diff V invariant differential relations and the h-principle for submersions and the theorem of Phillips
Date: July 10, 2024
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Contact and symplectic flexibility: 4) Loose Legendrians and flexible Weinstein manifolds
Date: July 11, 2024
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Foliation theory and diffeomorphism groups: 4) Definition of Haefliger's Gamma structures and Haefliger's theorem on foliations of open manifolds
Date: July 11, 2024
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Contact and symplectic flexibility: 5) Recent results: overtwistedness and convex surface theory in high dimensions
Date: July 12, 2024
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Foliation theory and diffeomorphism groups: 5) Thurston's theorem on the classification of foliations. The Mather-Thurston theory
Date: July 12, 2024
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