ENUMERATION OF COMBINATORIAL OBJECTS CLOSELY RELATED TO THE DIAGONAL COINVARIANT SPACES OF THE SYMMETRIC GROUP

Expositor: Louis-Francois Preville-Ratelle
Institución: UTAL

Jueves 23 de mayo de 2013.
16:00-17:00 hrs.

Resumen: In this presentation, we talk about combinatorial objects that are closely related to the diagonal coinvariant spaces. These spaces are indexed by two positive integers: 1) the number k of sets of variables and 2) the number n of variables contained in each set of variables. They are representations of the symmetric group S_n. I will give the precise definitions of these spaces, give a bit of history about them and why they are interesting. The rest of the talk will be mostly about enumerative combinatorics and we will present some of our results in this direction.