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Hermitian multiplicative infinite loop space machines

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Markus Spitzweck
Fre, 2016-03-18 11:15 - 12:15
MPIM Lecture Hall

 Multiplicative infinite loop space machines produce out of bimonoidal categories (or
infinity categories) E-infinity ring spectra. This procedure can be viewed as endowing
direct sum K-theory of symmetric monoidal (infinity) categories with a multiplication.
In this talk we will present a similar procedure for hermitian K-theory of infinity categories
with a notion of duality. We will show that any preadditive rigid symmetric monoidal infinity
category gives rise to a direct sum hermitian K-theory E-infinity spectrum. Examples will
include finite type projective modules over E-infinity ring spectra. This is joint work with
Hadrian Heine and Alejo Lopez-Avila.

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