Quasiregular curves

Quasiregular curves

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Pekka Pankka, University of Helsinki
Fine Hall 314

The analytic definition of quasiconformal, and more generally quasiregular, mappings between Riemannian manifolds requires that the domain and range of the map have the same dimension. This equidimensionality presents itself also in the local topological properties on quasiregular mappings such as discreteness and openness. In this talk, I will discuss an extension of quasiregular mappings, called quasiregular curves, for which the range may have higher dimension than the domain. In particular, I will discuss how this definition relates to holomorphic curves and consider local and global properties of this class of curves.