Tuesday, February 1, 2022
02/01/2022 - 4:30pm
Monoid sets are a non-additive model for toric varieties and offer a different avenue of exploration of that theory. I will give the definition of a monoid set, some key examples, and define their K-theory. We then prove that the K-theory of monoid sets satisfies analogous properties to the K-theory of algebraic (or toric) varieties, principal among them a localization theorem. Time permitting, I will do a calculation. This work is joint with Charles Weibel.