Federico Galetto — April 18

Equivariant resolutions of some squarefree monomial ideals

Federico GalettoCleveland State University

Free resolutions are algebraic constructs that encode interesting invariants, called Betti numbers, of rings, ideals, and modules. Under mild assumptions, a group action on the object being resolved lifts to its resolutions, which enables the use of representation theory to describe resolutions. I will illustrate these concepts using the ideal generated by all squarefree monomials of a given degree as an example, and show how representation theory leads to a nice combinatorial description of Betti numbers.

Link: http://: https://clemson.zoom.us/j/98217715119?pwd=a1hNY2NTN0lNRzNUOWJDMlBnU2M4dz09