Stephen Keith (Australian National University)
Differentiable structures for metric measure spaces
Abstract.
My talk will be structured around my thesis, the main result being the provision of conditions under which a metric measure space admits a differentiable structure. This differentiable structure gives rise to a finitedimensional L_\infty cotangent bundle over the given metric measure space and then to a Sobolev space H^{1,p} over the given metric measure space, the latter which is reflexive for p>1: This extends results of Cheeger (Geom. Funct. Anal. 9 (1999) (3) 428) to a wider collection of metric measure spaces.

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