Home /  NAG Equivariant Derived Categories Seminar: “Cohen-Macaulayness of modules of covariants"

Seminar

NAG Equivariant Derived Categories Seminar: “Cohen-Macaulayness of modules of covariants" March 07, 2024 (03:30 PM PST - 04:30 PM PST)
Parent Program:
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Speaker(s) Michel VAN DEN BERGH (Hasselt University)
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Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Cohen-Macaulayness of modules of covariants

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If G is a reductive group and U, W are two finite dimensional representations then M(U)=(U otimes Sym(W))^G is a so-called module of covariants over the invariant ring R=Sym(W)^G. It is a natural question the ask when M(U) is a Cohen-Macaulay module, or more generally, to understand its local cohomology. In the talk we will give an introduction to these problems.

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Cohen-Macaulayness of modules of covariants