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Multiplicities of graded families of ideals February 11, 2013 (04:10 PM PST - 05:00 PM PST)
Parent Program: --
Location: UC Berkeley, 60 Evans Hall
Speaker(s) Steven Cutkosky (University of Missouri)
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The multiplicity of a local ring R is its most fundamental invariant. For example, it tells us how singular the ring is. The multiplicity is computed from the limit as n goes to infinity of the length of R modulo the nth power of its maximal ideal. Many other multiplicity like invariants naturally occur in commutative algebra. We discuss a number of naturally occurring limits of this type, and show that in very general rings, such limits always exist.

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