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SUMMARY:Maru Sarazola (University of Minnesota)
DTSTART:20261106T160000Z
DTEND:20261106T164500Z
DTSTAMP:20261030T095228Z
UID:ThirdVWDC/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ThirdVWDC/5/
 ">K-theory of monoids via double categories</a>\nby Maru Sarazola (Univers
 ity of Minnesota) as part of Third Virtual Workshop on Double Categories\n
 \n\nAbstract\nFor any finite group G\, there is a well-known formula that 
 computes the algebraic K-theory of the category of finite G-sets\; i.e. fi
 nite sets with a G-action. Interestingly\, if we drop the existence of inv
 erses and swap G by a monoid M\, things get a lot more complicated and eac
 h step in the proof independently breaks down!\n\nIn this talk\, I will ex
 plain how we can save the day by considering a double category of M-sets i
 nstead. Along the way\, I will try to outline some recent developments in 
 algebraic K-theory that make heavy use of double categories. \n\nThe talk 
 won't assume any knowledge of K-theory\, and will only assume a working un
 derstanding of what a double category is.\n
LOCATION:https://researchseminars.org/talk/ThirdVWDC/5/
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