The K-theory of monoid sets

Tue Feb 1, 2022 4:30 p.m.—5:30 p.m.

Exterior of Sheffield-Sterling-Strathcona Hall featuring a stone carving of Yale's coat of arms and motto

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Monoid sets are a non-additive model for toric varieties and offer a different avenue of exploration of that theory.

Seminar:
Algebra and Number Theory Seminar

Event time:
Tuesday, February 1, 2022 - 4:30pm

Speaker:
Ian Cooley

Event description:
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.