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Lyubeznik-like invariants of local rings of mixed characteristic (COMMA) May 03, 2013 (11:30 AM PDT - 12:15 PM PDT)
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Location: MSRI: Simons Auditorium
Speaker(s) Emily Witt (University of Kansas)
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The Lyubeznik numbers are a family of invariants of a local ring containing a field that detect many ring-theoretic properties, and also have topological and geometric interpretations.  Motivated by their utility, in joint work with Luis Núñez-Betancourt, we define a new family of invariants of any local ring with characteristic p>0 residue field; in particular, they are defined for local rings of mixed characteristic.  For local rings of equal characteristic p>0, both the Lyubeznik numbers and these new invariants are defined.  In some cases, they agree, but we give an example where they differ.

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