Mathematics Colloquium

Istvan Prause

(Helsinki)

"Bilipschitz maps and logarithmic spirals"


Date: Mon, March 18, 2013
Time: 17:15
Place: Research II Lecture Hall

Abstract: How much can a bilipschitz map spiral? We explore two complementary aspects: how fast and how often. Quasiconformal techniques turn out to be effective to study this problem. In many ways, rotational phenomena for bilipschitz maps are dual to stretching properties of quasiconformal maps. I will contrast these two and explain what links them together. The talk is based on joint work with K. Astala, T. Iwaniec and E. Saksman.