The Department of Geometry is pleased to announce that
Zsolt Lángi
(University of Szeged and Rényi Institute, Hungary)
gives a talk at the Kerékjártó Seminar with the title
Arclength of curves with the increasing chords property
Date and place:
Tuesday, October 21, 2025, 12:30 am,
Riesz lecture hall, Meeting
act
We say that a curve $\gamma$ satisfies the increasing chords property, if for any points $a,b,c,d$ in this order on $\gamma$, the distance of $a,d$ is not smaller than the distance of $b,c$. Binmore asked the question in 1971 if there is a universal constant $C$ such that for any curve $\gamma$ in the Euclidean plane, satisfying the increasing chords property, if the endpoints of $\gamma$ are at unit distance apart, then the arclength of $\gamma$ is at most $C$. Larman and McMullen showed in 1972 that the constant $C=2\sqrt{3}$ satisfies this conditio…
