Stable Lie algebra homology and wheeled operads (Vladimir DOTSENKO, Strasbourg)

17.09.2024 15:00 – 16:00

I shall recall the definition of a wheeled operad and explain how homotopy invariants of wheeled operads appear naturally when computing stable homology of Lie algebras of derivations of free algebras. This a common generalization of the Loday-Quillen-Tsygan theorem on additive K-theory of an associative algebra, and the Fuchs' stability theorem for homology of the Lie algebra of vector fields. I shall also discuss the (arguably more important) case of the Lie algebras of divergence zero derivations.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-07, Séminaire "Groupes de Lie et espaces de modules"

entrée libre