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Conformal Geometry (and Physics)Geometry/Topology
|Speaker:||Andrew Waldron, UC Davis|
|Start time:||Tue, May 31 2022, 1:10PM|
A conformal geometry is the data of a manifold equipped with a class of metrics identified by local Weyl rescalings. These geometries underly many key physical notions including causality, scale invariance and the geometry of conformal infinities. There exists a powerful “tractor calculus” for conformal structures that parallels the main tools available to Riemannian geometers. This talk will review the main ideas behind tractors and their applications to conformally compact structures; the latter are the general geometric setting for holographic physics theories.