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Department of Mathematics pres.

Student Commutative Algebra Seminar

Some combinatorial objects in commutative algebra

This talk will provide some background for the commutative algebra seminar this week. I will give a brief introduction to some combinatorial objects in commutative algebra, with a focus on Hibi rings and more general toric rings, which can be associated to posets and convex cones, respectively. I will show how the combinatorics of these associated objects can be exploited in order to understand properties of the original ring. Time permitting, I will mention other combinatorial rings which are often studied. This talk is meant to give a flavor of this research rather than serving as a detailed introduction to toric rings/varieties, and should be accessible to students concurrently taking 593. Speaker(s): Janet Page (University of Michigan)

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