Explore a 48-minute lecture by Giovanni Landi from Università degli Studi di Trieste on Atiyah sequences of braided Lie algebras and their splittings. Delivered at the Fields Institute on December 6, 2023, as part of the Workshop on Operator Algebras and Applications: Non-Commutative Geometry. Delve into advanced mathematical concepts within the broader context of the Thematic Program on Operator Algebras and Applications. Gain insights into this specialized topic through the speaker's expertise and research findings.