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Back to Commutative Algebra Seminar: Fall 2021

Commutative Algebra Seminar


Date: Tuesday, Nov 23, 2021

Time: 2:00PM

Location: LCB 222


James Cameron

University of Utah

Title

Local cohomology modules of group cohomology rings

Abstract

For G a finite group and k a field of characteristic dividing |G| there is a rich history of studying the geometry and commutative algebra of the group cohomology ring of G with coefficients in k. These rings are complicated, but some of their geometric features can be described in group theoretic terms. These geometric features can often be phrased in terms of local cohomology. I will survey some of the results around local cohomology modules of group cohomology rings, and describe how to study these modules using a topological perspective. I will also mention some open problems.

Commutative Algebra

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