Séminaires : Séminaire d'Algèbre

In this talk, I will describe joint work with N. Ovenhouse and S. Zhang providing combinatorial formulas for super lambda lengths in the context of decorated super Teichmueller space of a marked disc or an annulus. The latter leads to a notion of Super Fibonacci Numbers, as will be discussed. The talk will then describe recent research applying these methods instead on the once-punctured torus and how this leads to Super Markov Numbers where associated combinatorial formulas are no longer positive generating functions but instead involve signed enumeration. Time-permitting, material on higher dimer covers on snake graphs with applications to higher continued fractions will also be presented, the latter being joint with N. Ovenhouse, R. Schiffler, and S. Zhang.

This talk will take place on Zoom only.