# Operads 2009

Share this page *Edited by *
*Jean-Louis Loday; Bruno Vallette*

A publication of the Société Mathématique de France

An operad is a mathematical device used to encode universally
a wide variety of algebraic structures. The name operad appeared first
in the 1970s in algebraic topology to recognize \(n\)-fold loop
spaces. Operads enjoyed a renaissance in the nineties, mainly under the
impulse of quantum field theories. This universal notion is now used
in many domains of mathematics such as differential geometry
(deformation theory), algebraic geometry (moduli spaces of curves,
Gromov-Witten invariants), noncommutative geometry (cyclic homology),
algebraic combinatorics (Hopf algebras), theoretical physics (field
theories, renormalization), computer science (rewriting systems) and
universal algebra.

The purpose of this volume is to present contributions about the
notion of operads in these fields, where they play an important
role. This volume is a result of a school and a conference, “Operads
2009”, both of which took place at the CIRM (Luminy, France) in April
2009.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

#### Readership

Graduate students and research mathematicians interested in algebraic theory.