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Topology Seminar

Date:
-
Location:
745 Patterson Office Tower
Speaker(s) / Presenter(s):
Jonathan Campbell, University of Texas-Austin

Title:  The Algebraic K-Theory of Varieties 

Abstract:  The Grothendieck ring of varieties is a fundamental object of study for algebraic geometers. As with all Grothendieck rings, one may hope that it arises as π0 of a K-theory spectrum, K(Vark). Using her formalism of assemblers, Zahkarevich showed that this is in fact the case. I'll present an alternate construction of the spectrum that allows us to quickly see the E-structure on K(Vark) and produce various character maps out of K(Vark). I'll end with a conjecture about K(Vark) and iterated K-theory.

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