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Seminar by Lucio Cirio (Georg-August-Universität Göttingen)

Title: A categorification of infinitesimal braidings and of Casimir Lie algebras

2014.12.15 | Maja Malmdorf Andersen

Date Wed 18 Feb
Time 16:15 17:15
Location Aud.D3 (1531-215)

Abstract: 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.