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Positive Scalar Curvature with Point Singularities

Offered By: Institut des Hautes Etudes Scientifiques (IHES) via YouTube

Tags

Differential Geometry Courses Topology Courses Mathematical Physics Courses Curvature Courses Manifolds Courses Riemannian Geometry Courses

Course Description

Overview

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Explore a detailed lecture on the topological construction of positive scalar curvature metrics with uniformly Euclidean (L^∞) point singularities. Delve into counterexamples to Schoen's conjecture and discover metrics with uniformly Euclidean point singularities that cannot be smoothed via geometric flow while preserving non-negative scalar curvature. Learn about recent joint work with Simone Cecchini and Georg Frenck as presented by Rudolf Zeidler from Munster University in this 1 hour 21 minute talk at the Institut des Hautes Etudes Scientifiques (IHES).

Syllabus

Rudolf Zeidler - Positive scalar curvature with point singularities


Taught by

Institut des Hautes Etudes Scientifiques (IHES)

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