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DTSTART:20070311T020000
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DTSTAMP:20230910T193002
DTSTART;TZID=America/Detroit:20230911T170000
DTEND;TZID=America/Detroit:20230911T180000
SUMMARY:Workshop / Seminar:Commutative Algebra Seminar: Cartier algebras through the lens of p-families
DESCRIPTION:A Cartier subalgebra of a prime characteristic commutative ring R is an associated non-commutative ring of operators on R that play nicely with the Frobenius map.\nWhen R is regular\, its Cartier subalgebras correspond exactly with sequences of ideals called F-graded systems. One special subclass of F-graded system is called a p-family\; these appear in numerical applications such as the Hilbert-Kunz multiplicity and the F-signature. In this talk\, I will discuss how to characterize some properties of a Cartier subalgebra in terms of its F-graded system. I will further present a way to construct\, for an arbitrary F-graded system\, a closely related p-family with especially nice properties.
UID:110195-21824477@events.umich.edu
URL:https://events.umich.edu/event/110195
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics,seminar
LOCATION:East Hall - 3096
CONTACT:
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