MathCS Seminar

Title: Stabilizing Spectral Functors of Exact Categories
Seminar: Algebra
Speaker: Juan Villeta-Garcia of Emory University
Contact: John Duncan, john.duncan@emory.edu
Date: 2017-09-26 at 4:00PM
Venue: W306
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Abstract:
Algebraic K-Theory is often thought of as the universal additive invariant of rings (or more generally, exact categories). Often, however, functors on exact categories dont satisfy additivity. We will describe a procedure due to McCarthy that constructs a functors universal additive approximation, and apply it to different local coefficient systems, recovering known invariants of rings (K-Theory, THH, etc.). We will talk about what happens when we push these constructions to the world of spectra, and tie in work of Lindenstrauss and McCarthy on the Taylor tower of Algebraic K-Theory.

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