We recommend that non-UIC participants attend online. Any non-UIC participants who would like to attend in-person events need to register with the organizer at least three days before the seminar. If you have any questions, please contact Eloy Reyes.
Algebraic K-Theory Seminar
Polynomial functors and algebraic K-theory
Abstract: The Grothendieck group K_0 of a commutative ring is
well-known to be a \lambda-ring: although the exterior powers are
non-additive, they induce maps on K_0 satisfying various universal
identities. The \lambda-operations yield homomorphisms on
In joint work in progress with Barwick, Glasman, and Nikolaus, we give
a general framework for such operations. Namely, we show that the
K-theory space is naturally functorial for polynomial functors, and
describe a universal property of the extended K-theory functor. This
extends an earlier algebraic result of Dold for K_0. In this picture,
the \lambda-operations come from the "strict
polynomial functors" of Friedlander-Suslin.
Wednesday January 11, 2017 at 1:00 PM in SEO 1227