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Commutative Algebra Seminar

The injective dimension of F-finite F-modules and holonomic D-modules
Thursday, October 12, 2017
3:00-4:00 PM
4088 East Hall Map
If M is an F-module over a regular Noetherian ring of positive characteristic, or a D-module over a formal power series ring with coefficients in a field of characteristic zero, Lyubeznik showed that the injective dimension of M is bounded above by the dimension of its support. If M is F-finite (respectively, holonomic), we show that the injective dimension of M is bounded below by one less than the dimension of its support, and therefore can take only two possible values. We do this by studying the last term in the minimal injective resolution of M. (This is joint work with Wenliang Zhang.) Speaker(s): Nicholas Switala (University of Illinois at Chicago)
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics