Positive Scalar Curvature with Point Singularities

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).