Session S27 - Categories and Topology

Thursday, July 15, 14:30 ~ 15:00 UTC-3

Hopf G-coalgebras and the cobar functor

Eduardo Hoefel

UFPR - Curitiba, Brazil   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

This talk will begin by reviewing the Turaev category. Hopf G-coalgebras can be simply defined as Hopf algebras in that category. After presenting some interesting examples, I will communicate the results of my ongoing project involving the cobar functor in the context of G-coalgebras. This is work in progress, and we expect to extend the classical adjunction between the cobar functor and the loop space functor to the context of Turaev categories.

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