Location: Minard 404 (Seminar Room)

Time: Tuesday, 10:00-10:50 a.m.

Organizer: Cătălin Ciupercă

Previous Semesters

Jessica Striker:

Abstract: We introduce the notion of combinatorial dynamics on algebraic ideals by translating combinatorial results involving rowmotion and other toggle group actions on order ideals of posets to the setting of monomial ideals. This is joint work with David Cook.

Trevor McGuire: Resolutions of \(k[M]\)-modules

Abstract: Resolutions of \( k[x_1,...x_n]\)-modules have been widely studied, and in particular, combinatorial methods have been applied to large classes of modules. If we replace the variables with more general objects, the problems get proportionally more difficult. Specifically, we will investigate \(k[M]\)-modules where \(M\) is a monoid. There are two equally realistic avenues to take with \(M\), and we will discuss both avenues. The presentation will begin with a review of aforementioned combinatorial methods for the traditional case.

9 February 2016

Cătălin Ciupercă: Reduction numbers of equimultiple ideals