Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
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Hilbert-Kunz multiplicity of powers of an ideal
Ilya Smirnov has proposed a precise relationship between the Hilbert-Kunz multiplicity of powers of an ideal and the Hilbert coefficients of its Frobenius powers. We shall discuss the known results about this question for ideals in pseudo-rational local rings, the maximal ideal of the face ring of a simplicial complex, and certain ideals in hypersurface rings. We shall also point out a possible relation between the Hilbert-Kunz multiplicity of power products of ideals and mixed multiplicities of Frobenius powers of ideals.
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