Commutative algebra with $S_n$-invariant monomial ideals

Claudiu Raicu (University of Notre Dame)

21-May-2020, 20:30-22:00 (4 years ago)

Abstract: Consider a polynomial ring in $n$ variables, together with the action of the symmetric group by coordinate permutations. In my talk I will describe many familiar notions in Commutative Algebra in the context of monomial ideals that are preserved by the action of the symmetric group. These include Castelnuovo-Mumford regularity, projective dimension, saturation, symbolic powers, or the Cohen-Macaulay property. My goal is to explain how changing focus from minimal resolutions to Ext modules can lead to a simplified picture of the homological algebra, and to provide concrete combinatorial recipes to determine the relevant homological invariants.

commutative algebra

Audience: researchers in the topic


Fellowship of the Ring

Series comments: Description: National Commutative Algebra Seminar

You have to register to attend the seminar; the registration link is on the webpage. But you only have to register once. Once you register for a seminar, your registration will be carried over (in theory!) to future seminars.

Organizers: Srikanth B. Iyengar*, Karl E. Schwede
*contact for this listing

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