MATS225 Kvasikonformikuvaukset (5–9 op)

The students are introduced to the theory of quasiconformal (in the metric and analytic sense) and quasisymmetric maps. They know prototypical examples of such maps and their basic properties. Main topics are "local-to-global" results and the regularity of quasiconformal maps. While the course focuses mostly on the theory in Euclidean spaces, it is tailored as an introduction to analysis on metric spaces. Along the way, the students get acquainted with important tools from geometric and harmonic analysis, such as Poincaré inequalities and covering theorems.