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UID:20250703T102913EDT-6555DNpvcv@132.216.98.100
DTSTAMP:20250703T142913Z
DESCRIPTION:Encoding modules with posets\n\nBar codes arise from exploratio
 n of data using one multiscale parameter. When the context allows or deman
 ds more than one parameter\, partially ordered sets step in to encode topo
 logical summaries in finite fashion. The theory governing the tame behavio
 r of topological summaries of data depends on the algebra of graded module
 s over rings of polynomials where the exponents are allowed to be real num
 bers instead of integers. The finiteness condition that gives rise to effe
 ctive data structures for statistical analyses replaces the noetherian hyp
 othesis\, which routinely fails in this context. Out of this tameness surp
 risingly falls much of ordinary commutative algebra\, including primary de
 composition and syzygy theorems.\n
DTSTART:20180918T200000Z
DTEND:20180918T210000Z
LOCATION:Room PK-5115 \, CA\, Pavillon President-Kennedy
SUMMARY:Ezra Miller\, Duke University
URL:/mathstat/channels/event/ezra-miller-duke-universi
 ty-289635
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