Margaret Readdy, University of Kentucky |

Counting, q-counting and negative q-counting |

ABSTRACT: Given a mathematical object, one can simply count it. A more sophisticated method of enumeration, called a q-analogue, is to count an object by keeping track of one or more of its mathematical properties. When setting q=1, one returns to the naive enumeration. After reviewing some classical q-analogues, I will discuss the new idea of a negative q-analogue. This will include recent work of Fu, Reiner, Stanton and Thiem on the negative q-binomial coefficient, and, time permitting, new work of Cai and Readdy on negative q-Stirling numbers. |

# Friday, April 12 at 1:30pm in the conference room

Categories: Spring 2013