Monday Analysis Seminar: Geometry of domains and maps

2017-8-7 13:30 - 2017-8-7 15:00
Faculty of Science Building #3 Room 210
Matti Vuorinen (University of Turku, Finland)
My talk will deal with the study of geometric properties of domains in $\mathbb{R}^n$ and quasiconformal maps defined on them. An important idea in this work is the study of how distances are changed under maps. The variation of geometric and topological properties of balls with a fixed center and varying radius reflects the nature of the boundary of the domain. Metrics can be defined in many ways, e.g. in terms of capacity, angles or distances and each geometry has different balls. We also employ the number of Whitney cubes of a given generation for this purpose. Mostly I will discuss results from my joint papers in arXiv during the past five years.

Different time.
Reijonen's lecture follows after a break.

Monday Analysis Seminar