University of Cambridge > > Isaac Newton Institute Seminar Series > Loewner curvature

Loewner curvature

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact webseminars.

Random Geometry

Co-author: Steffen Rohde (University of Washington)

Inspired by the geometric understanding of the SLE trace, there has been interest in studying how the deterministic Loewner equation encodes geometric properties of 2-dim sets into the 1-dim data of the driving function. Working in this vein, we define a new notion of curvature, called Loewner curvature, so-named because it captures key behavior of the trace curve of the Loewner equation. The Loewner curvature is defined for (nice enough) curves that begin at a marked boundary point of a Jordan domain and grow towards a second marked boundary point. We show that if this curvature is small, then the curve must remain a simple curve.

This talk is part of the Isaac Newton Institute Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.


© 2006-2023, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity