What is... the crossing number of curves on surfaces?
Vortrag von Jasmin Jörg
Datum: 08.04.25 Zeit: 16.30 - 18.30 Raum:
Fixing a closed surface and a number \(k\), we ask: How many crossings do any \(k\) non-homotopic simple closed curves on the surface necessarily create? In this talk, we focus on small minimising systems on a surface of genus 2 and relate them to optimal curve systems appearing in other contexts. If time allows, we discuss more general results concerning higher genus surfaces and asymptotic behaviour.