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Hochschild homology, lax codescent, and duplicial structure

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Speaker: 
Stephen Lack (Macquarie)
Datum: 
Mon, 18/01/2016 - 15:00 - 16:00
Location: 
MPIM Lecture Hall

The duplicial objects of Dwyer and Kan are a generalization of the cyclic
objects of Connes. I will describe these duplicial objects in terms of the decalage
comonads, and give a conceptual account of a construction of duplicial objects due
to Böhm and  Stefan. This is done in terms of a 2-categorical generalization of
Hochschild homology. If time permits, I will also discuss duplicial structure on nerves
of categories, bicategories, and monoidal categories.

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