Generalized Fishburn numbers via torus knots

For zoom details contact Pieter Moree (moree@mpim-bonn.mpg.de).

The Fishburn numbers are a sequence of positive integers with numerous combinatorial interpretations and interesting asymptotic properties. In 2016, Andrews and Sellers initiated the study of arithmetic properties of these numbers. In this talk, we discuss a generalization of this sequence using knot theory, the quantum modularity of the associated Kontsevich-Zagier series and, time permitting, asymptotics.