04/08/2014 - 12:15pm

04/08/2014 - 1:10pm

Speaker:

Susan Durst (University of Arizona)

Abstract:

Let me tell you a story about the well-loved Moebius function. Specifically, the Moebius function of locally-finite posets. Not only does this function generalize the classical Moebius function we remember fondly from number theory. Not only is it a rich source of information about posets. This function also arises in the study of my favorite mathematical object: the splitting algebra! In this talk, I will define the Moebius function and the splitting algebra, show how the Moebius function can be used to calculate the Hilbert series of the splitting algebra, and present a proposition pertinent to products of posets.

Where:

Mudd Science Library 126 (Pomona College)