Meesue Yoo

q-counting via q-integrals

Generating function is a way of encoding an infinite sequence of numbers by treating them as the coefficients of formal power series. Generating functions are nice and powerful since it becomes a bridge connecting discrete mathematics and continuous analysis. In this talk, we are going to consider the P-partition generating functions. P-partitions are a generalized concept of partitions. We'll introduce the hook length formula which computes the generating functions of P-partitions when the poset P has special shapes. Lastly, we'll consider d-complete posets and prove the hook length property of d-complete posets via q-integral technique.

Note that this talk is on a different day and at a different location than usual.