Algebraic K-theory for Lawvere theories: assembly and Morita invariance

Abstract: Much like operads and monads, Lawvere theories are a way of encoding algebraic structures, such as those of modules over a ring or sets with a group action. In this talk, we discuss the algebraic K-theory of Lawvere theories, which contains information about automorphism groups of these structures. We'll discuss both particular examples and general constructions in the K-theory of Lawvere theories, including examples showing the limits of Morita invariance and the construction of assembly-style maps. This is joint work with Markus Szymik.

algebraic topology

Audience: researchers in the topic

Online algebraic topology seminar

Series comments: The seminar is hosted on Zoom. To minimise security concerns, access information for the Zoom meeting will only be sent out through the mailing list approximately an hour before the seminar is due to begin, details of which are below.

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