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DTSTART:20070311T020000
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DTSTAMP:20230912T101055
DTSTART;TZID=America/Detroit:20230913T110000
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SUMMARY:Lecture / Discussion:Schmidt rank/strength and the singular locus
DESCRIPTION:Given a multivariate polynomial f\, Schmidt rank/strength is a quantity defined algebraically which measures its non-degeneracy. In 1985 Schmidt introduced this quantity and showed that over the complex numbers it's closely related to a geometric quantity measuring non-degeneracy: the codimension of the singular locus of (f=0). Ananyan and Hochster proved a similar relationship holds for algebraically closed fields of arbitrary characteristic\, but with very weak bounds. I will present a recent result giving strong bounds in any characteristic which doesn't divide the degree of f\, and discuss upcoming work on the case deg(f) = char(k) = p.
UID:112094-21828425@events.umich.edu
URL:https://events.umich.edu/event/112094
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 4088
CONTACT:
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