Angela Carnevale (University of Galway)

TITLE

Permutation statistics in enumerative algebra and beyond

ABSTRACT

The study of permutation statistics is a classical theme in algebraic and enumerative combinatorics. These combinatorial functions recently found several applications in asymptotic and enumerative algebra. In this lecture I will give an overview of applications of permutation statistics in this context. I will start by recalling some classical results, with pointers to recent applications in the world of zeta functions in algebra. I will then discuss a few extended examples of permutation statistics in the context of Coxeter and Weyl groups, and certain complex reflection groups. These permutation statistics arose from or have applications to describing (numerators of) rational functions associated with various types of zeta functions, as well as to the enumeration of matrices over finite fieldsPermutation statistics in enumerative algebra and beyond

PLACE
Hybride - UQAM Salle / Room PK-5115, Pavillon Président-Kennedy

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