Introduction to algebraic operads and homotopical algebraOberseminar Darstellungstheorie

by Bruno Vallette (Sorbonne)

Monday Jan 19, 2026, 6:00 PM → 8:00 PM Europe/Berlin

Endenicher Allee 60/Raum 1.008 (Mathezentrum)

The purpose of this (informal) course is to introduce the audience with the effective deformation and homotopy theories for algebraic structures with the help of operads (and their generalisations). 

 

1. Homotopy algebras 

 

"Algebra and Homotopy do not mix well a priori"', as Saunders MacLane used to say. We will study the problem of transporting simple algebraic structures through weak equivalences. This will naturally give to the notions of homotopy/infinity algebras like A_infinity-algebras or L_infinity-algebras.