MATH Seminar
| Title: Stabilizing Spectral Functors of Exact Categories |
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| 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 |
| Download Flyer |
| 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 don’t satisfy additivity. We will describe a procedure due to McCarthy that constructs a functor’s 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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