Topology Seminar
Upcoming Talks
The seminar will meet at 4:30pm on Tuesdays in Eckhart room 203 unless otherwise noted. There will also be a pretalk at 3pm in the same room.
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Akhil Mathew (Harvard)
Polynomial functors and algebraic Ktheory
The Grothendieck group K_{0} of a commutative ring is wellknown to be a λring: although the exterior powers are nonadditive, they induce maps on K_{0} satisfying various universal identities. The λoperations yield homomorphisms on higher Kgroups.
In joint work in progress with Barwick, Glasman, and Nikolaus, we give a general framework for such operations. Namely, we show that the Ktheory space is naturally functorial for polynomial functors, and describe a universal property of the extended Ktheory functor. This extends an earlier algebraic result of Dold for K_{0}. In this picture, the λoperations come from the ‘strict polynomial functors’ of FriedlanderSuslin.

Alexandra Yarosh (Pittsburgh)
If you have any questions, please contact Zhouli Xu or Zev Chonoles.