MS Seminar (Mathematics - String Theory)

Speaker: Akhil Mathew (Harvard U)
Title: Algebraic K-theory, polynomial functors, and lambda-rings
Date: Tue, Sep 26, 2017, 15:30 - 17:00
Place: Seminar Room B
Abstract: The Grothendieck group K_0 of a commutative ring is well-known to be a lambda-ring, via taking exterior powers of modules. In joint work in progress with Barwick, Glasman, and Nikolaus, we study space-level refinements of this structure. Namely, we show that the K-theory space of a category is naturally functorial for polynomial functors, and describe a universal property of the extended K-theory functor. This leads to a natural spectral refinement of the notion of a lambda-ring.