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SUMMARY:Group-completion K-theory via Waldhausen categories [MPIM]
DTSTART:20260922T090000Z
DTEND:20260922T103000Z
DTSTAMP:20260912T035000Z
UID:indico-event-1576@math-events.uni-bonn.de
DESCRIPTION:Speakers: Maxine Calle (Universität Bonn)\n\nAbstract Homotop
 y Theory Seminar\nThere are various constructions of higher algebraic K-t
 heory that are applicable to different kinds of categorical inputs\, and t
 hese constructions agree in many settings — most notably\, for the algeb
 raic K-theory of a ring. In this talk we will discuss a new\, general com
 parison between Waldhausen’s S-dot construction and Segal’s group comp
 letion K-theory for symmetric monoidal categories: given any symmetric mo
 noidal category\, we construct a Waldhausen category with an equivalent K
 -theory spectrum. As a consequence\, we show that every connective spectru
 m is equivalent to the K-theory of some ordinary Waldhausen category. Thi
 s talk is based on joint work with David Chan.\n\nhttps://math-events.uni-
 bonn.de/event/1576/
LOCATION:MPIM\, Vivatsgasse\,  7 - Seminar Room (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1576/
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