Topology

Speaker: 
David Chan
Speaker Affiliation: 
Michigan State U
Speaker Link: 
https://sites.google.com/view/davidchanmath

April 7, 2026

Canada

This is part of the online seminar series affiliated with the PIMS CRG in diagram categories.

The talk will be held on Zoom: https://ubc.zoom.us/j/67108700370?pwd=a3trUMqdCrEbOGbr3dGkYfEvTU8eIp.1

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Abstract: 

Higher algebraic K-theory is a powerful invariant which was originally defined for rings, but has since grown far beyond its initial scope to encompass increasingly rich and intricate settings. There are many different constructions of algebraic K-theory, reflecting the range of uses and perspectives encompassed by the theory. In this talk, I will describe a comparison between Waldhausen’s K-theory construction and Segal’s K-theory of symmetric monoidal categories. Precisely, given a symmetric monoidal category, we construct a Waldhausen category with an equivalent K-theory spectrum. 

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