Vincent Delecroix

CNRS, Université de Bordeaux

Random multicurves in high genera

Geometry and Topology Seminar

11th May 2021, 2:00 pm – 3:00 pm
Zoom seminar, if interested, please email one of the organisers to gain access to the Zoom link

A multicurve on a closed surface S of genus g >= 2 is a homotopy
class of a disjoint union of simple non-contractible curves. There
are countably many multicurves on S. Thanks to the work of
M. Mirzakhani, F. Arana-Herrera and M. Liu one can make sense
of the shape of a random multicurve on S. In this talk, I will
recall the definition and the construction of this random multicurve
and will (partly) answer to the question: what is the asymptotic
shape of a random multicurve as the genus tends to infinity?

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