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SUMMARY:Characterising rectifiable metric spaces via tangent spaces - Davi
 d Bate (Warwick)
DTSTART:20260309T140000Z
DTEND:20260309T150000Z
UID:TALK242152@talks.cam.ac.uk
CONTACT:Zoe Wyatt
DESCRIPTION:Geometric measure theory studies geometric properties of non-s
 mooth\nsets. The key concept is that of an n-rectifiable set\, which can b
 e\nparametrised by countably many Lipschitz images of n-dimensional\nEucli
 dean space. Characterisations of rectifiable subsets of Euclidean\nspace h
 ave important consequences in the theory of partial differential\nequation
 s\, harmonic analysis and fractal geometry.\n\nThe recent interest in anal
 ysis in non-Euclidean metric spaces naturally\nleads to questions regardin
 g geometric measure theory in this setting.\nThis talk will give an overvi
 ew of work in this direction. After\nintroducing the necessary background\
 , we will present recent\ncharacterisations of rectifiable subsets of an a
 rbitrary metric space in\nterms of tangent spaces.
LOCATION:MR13
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