Matti Vuorinen，University of Turku
题目：Hyperbolic type metrics in Geometric Function Theory
摘要：In the study of mappings defined on subdomains G of $R^n$,
the Euclidean metric is not adequate. Indeed, one usually needs
to study distance functions between x,y in G, which take into
account not only the position of the points with respect to
each other, but also the position of the points with respect to
the boundary of the domain. The boundary of the domain has the
same role as the horizon, which in euclidean geometry is infinity.
The classical example is the hyperbolic metric of the unit ball
in $R^n$. During the past 40 years the hyperbolic metric has been
generalised in various ways and this lead to hyperbolic type metrics.
These metrics have become a key tool in the theory of quasi-conformality
and in the study of Gromov hyperbolicity. This talk is a survey of
this research, the focus being in the thesis of Parisa Hariri,
published 4 weeks ago.

时间：4月17日15：00

地点：维格堂119