Riikka Korte (Aalto University)
Title: Conformal transformation of metric measure spaces
Abstract: I will discuss the recent results on conformal deformations of metric measure spaces. Inspired by the stereographic projection and its inverse, the deformations that transform unbounded spaces into bounded ones are called sphericalizations and transformations that transform bounded spaces into unbounded ones are called flattenings. It is possible to construct sphericalizations and flattenings that preserve for example uniformity, doubling property, Poincaré inequality, p-energy and/or Besov energy. These transformations are useful for example in solving a Dirichlet problem on unbounded domains. I will discuss our recent results that are based on joint work with A. and J. Björn, R. Gibara, S. Rogovin, N. Shanmugalingam and T. Takala.
Where: Concordia, room LB 921-4, and by Zoom (see link below)
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Meeting ID: 832 1040 6732
Passcode: 031132
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