Seminar Event Detail

Commutative Algebra

Date:  Thursday, April 11, 2019
Location:  3866 East Hall (3:00 PM to 4:00 PM)

Title:  Closure operations in complete local rings of mixed characteristic

Abstract:   Closure operations are important tools in commutative algebra. The most well-known closure operation is the tight closure introduced by Hochster and Huneke, which turns out to be very powerful and fruitful. Other examples are epf and r1f closure defined by Heitmann for rings of mixed characteristic. Dietz and R.G. axiomatized some nice properties of tight closure and its relation to big Cohen-Macaulay algebras/modules. In this talk, we will introduce their axioms and define a new closure operation called "weak epf closure" in mixed characteristic. This closure operation satisfies all axioms mentioned above, which suggests that it may be a good analogue of tight closure. Other related results and remaining questions will be discussed.


Speaker:  Zhan Jiang
Institution:  University of Michigan

Event Organizer:   Eloisa Grifo and Mel Hochster


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