The q,t-Catalan numbers and Hyperplane Arrangements

04/10/2012 - 12:15pm
04/10/2012 - 1:10pm
Matt Davis (HMC)

The q,t-Catalan numbers encode information about the space of diagonal harmonics, but are also quite interesting from a purely combinatorial perspective. They can be computed using properties of certain hyperplane arrangements, some of which have their own connections to other objects of interest. This will be a mostly expository talk exploring the relationship between all of these objects. 

Millikan 208 (Pomona College)