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Geometry and analysis of groups and manifolds

Curve fragment-wise differentiation of Lipschitz functions on metric spaces

speaker: Elefterios Soultanis

abstract: Curve fragments are (bi-)Lipschitz images of compact subsets of R. They have a surprising connection to differentiability of Lipschitz functions on metric measure spaces, in terms of Alberti representations - decompositions of the measure into curve fragments. In this talk I describe the duality between Alberti representations and modulus (a central tool in Sobolev analysis on metric spaces), the arising curve fragment-wise differentiable structure, and its connection with Lipschitz differentiability spaces.

timetable:
Thu 29 Jun, 11:30 - 12:00, Aula Dini
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