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The Hilbert-Kunz multiplicity and the F-signature can disagree

Seungsu Lee
Monday, September 15, 2025
4:00-5:00 PM
EH3088 East Hall Map
In positive characteristics commutative algebra, the Hilbert-Kunz multiplicity and the F-signature play a crucial role in measuring singularities of a ring. In this talk, we will overview the connection between the two invariants and present examples where these invariants rank the singularities in opposite ways. This is a joint work with Austyn Simpson and Suchitra Pande.
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics, seminar
Source: Happening @ Michigan from Commutative Algebra Seminar - Department of Mathematics, Department of Mathematics