Séminaire des Doctorants et Doctorantes

Intoduction to Operads

by Mr Andrea Cesaro (Université de Lille)

112 (Bat. Braconnier)


Bat. Braconnier

The word "Operad" was used for the first time in "The Geometry of Iterated Loop Spaces" by J. Peter May as a mix between the words "operations" and "monad". Initially they were studied in homotopy theory but more recently they became fondamental tools in many different areas: homological algebra, category theory, algebraic geometry, mathematical physics, logic, and algebraic topology. The aim of this talk is to present a definition and possible motivations to these important objects, starting from the particular case of vector spaces and then generalizing it.