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On generalized Hilbert-Kunz function and multiplicity (COMMA) April 29, 2013 (02:00 PM PDT - 03:00 PM PDT)
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Location: MSRI: Simons Auditorium
Speaker(s) Hailong Dao (University of Kansas)
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Let (R, m) be a local ring of characteristic p with perfect residue field. Let I be an ideal of R. In this talk I will describe some recent results, joint with Ilya Smirnov and Keiichi Watanabe, on the asymptotic behavior of length of the zeroth local cohomology module of R/I^[q]. This is an obvious generalization of the classical concepts of Hilbert-Kunz function and multiplicity.

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