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A categorification of infinitesimal braidings and of Casimir Lie algebras

Lucio Cirio
(Georg-August-Universität Göttingen)
Onsdag, 18 februar, 2015, at 16:15-17:15, in Aud. D3 (1531-215)
Infinitesimal braidings and Casimir Lie algebras (Lie algebras endowed
with a symmetric invariant tensor) are respectively the `classical
limit' of braided categories and of quantum groups.

Drinfeld showed how it is possible to quantize Casimir Lie algebras
via the holonomy of the Knizhnik-Zamolodchikov connection. After
recalling Drinfeld's construction I will address its 2-categorical
analogue, which involves infinitesimal braidings in 2-categories and
invariant tensors on Lie 2-algebras.

I will conclude by sketching why this is relevant for the study of
quantum 2-groups and higher knot invariants. Based on joint works with
J.F. Martins.
Organiseret af: QGM