Macroscopic invariants of manifolds

This project is concerned with non-compact Riemannian manifolds which are so-called “large”. Concretely, we consider macroscopic dimension as a measure of largeness, and being hypereuclidean as a strong form of having full macroscopic dimension. The goals are to investigate the behaviour of these two notions in geometric situations where we have a suitable large submanifold, to relate them to macroscopic positive scalar curvature, and to explore them in the world of simplicial non-positive curvature.


    Team Members

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