Discrete Math Seminar: Bugs, colonies, and q-Boson normal ordering

  • Date: 02/09/2010
Adolfo Rodríguez (UQAM)

University of British Columbia


In my work with Miguel Mendez, we provided a new

combinatorial model for the coefficients appearing in the normal

ordering of q-Boson words, by introducing combinatorial structures

called bugs, colonies and settlements. In this lecture I will show, in

a more general context, how this kind of structures can be used to

simplify proofs of combinatorial theorems involving q-analogs, and how

our combinatorial model and formulas for the coefficients appearing in

the q-Boson normal ordering problem arise as a direct application of

these techniques.


4:00pm - 5:00pm, WMAX 216.