I will introduce a class of spaces that can be seen as an infinite-dimensional analogue for Carnot groups. These spaces cover classical, finite-dimensional Carnot groups as well as separable Banach spaces. I will also present a version of Rademacher's theorem for Lipschitz functions with infinite-dimensional Carnot group domains and give examples of noncommuting infinite-dimensional spaces in which our theorem can be applied. This is joint work with Enrico Le Donne and Sean Li.
On BV Functions and Integration by Parts Formulæ in Metric Measure Spaces
Vito Buffa (Aalto University)
We give a characterization of BV functions in metric measure spaces making use of suitable vector fields. This constitutes the starting point for a discussion on Gauss-Green Formulæ featuring the normal traces of divergence-measure vector fields, and for new results on the traces of BV functions. Based on joint works with G. E. Comi and M. Miranda Jr.
David Fisher (Indiana University Bloomington)
David Freeman (University of Cincinnati Blue Ash College)