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SUMMARY:Vijaylaxmi Trivedi (Tata Institute of Fundamental Research\, Mumba
 i)
DTSTART:20210205T120000Z
DTEND:20210205T130000Z
DTSTAMP:20260423T021010Z
UID:VCAS/68
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VCAS/68/">Hi
 lbert-Kunz density function and its applications</a>\nby Vijaylaxmi Trived
 i (Tata Institute of Fundamental Research\, Mumbai) as part of IIT Bombay 
 Virtual Commutative Algebra Seminar\n\n\nAbstract\nIn this talk\, we recal
 l the notion of the Hilbert-Kunz density function for graded rings. This f
 unction was introduced to understand the Hilbert-Kunz multiplicity which i
 s a difficult characteristic $p$ invariant to compute and to make speculat
 ion about its properties. It turns out the HK density function is also rel
 ated to another characteristic $p$-invariant namely $F$-threshold. Here we
  describe its properties and give its applications to HK multiplicity\, $F
 $-thershold\, and to a conjecture of Watanabe-Yoshida. The talk is partly 
 based on joint work with K.I. Watanabe.\n
LOCATION:https://researchseminars.org/talk/VCAS/68/
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