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CATEGORIES:Lecture
DESCRIPTION:Factorization Systems on Posets -\nThe sometimes-confusing dist
inction between codomain (aka range or target) and image is nicely formaliz
ed by the notion of factorization system from category theory: every functi
on factors (in an essentially unique way) as a surjection onto its image fo
llowed by the inclusion of image into codomain. This is the only interestin
g factorization system on the category of sets and functions\, but such sys
tems proliferate when we consider other categories. In this talk\, I will m
otivate categories and factorization systems\, and then expose some of the
surprising and deep combinatorics of factorization systems on posets (i.e.\
, partially ordered sets). In an unexpected turn\, when applied to subgroup
lattices\, these results have important applications to equivariant infini
te loop space theory. Much of this work is joint with Reed students and col
leagues\, who will be extensively praised/embarrassed during the talk.
DTEND:20240301T003000Z
DTSTAMP:20241109T003325Z
DTSTART:20240229T234000Z
GEO:45.480964;-122.630146
LOCATION:Physics\, 123
SEQUENCE:0
SUMMARY:Math-Stats Colloquium: Kyle Ormsby\, Reed College
UID:tag:localist.com\,2008:EventInstance_45651765297041
URL:https://events.reed.edu/event/math-stats_colloquium_kyle_ormsby_reed_co
llege
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