## From Operads to `Physically' Inspired Theories

Citations: | 11 - 1 self |

### BibTeX

@MISC{Stasheff_fromoperads,

author = {Jim Stasheff},

title = {From Operads to `Physically' Inspired Theories},

year = {}

}

### OpenURL

### Abstract

Introduction As evidenced by these conferences (Hartford and Luminy), operads have had a renaissance in recent years for a variety of reasons. Originally studied entirely as a tool in homotopy theory, operads have recently received new inspirations from homological algebra, category theory, algebraic geometry and mathematical physics. I'll try to provide a transition from the foundations to the frontier with mathematical physics. For me, the transition occurred in two stages. First, there is the generalization of Lie algebra cohomology known as BRST (Becchi-RouetStora -Tyutin) cohomology, which turned out to be very closely related to strong homotopy Lie (L1 ) algebras, which I will describe later in homological algebraic terms - along the lines of Balavoine's talk at this conference [5]. That description makes no use of operads, but the relevance of operads appeared later in the work of Hinich and Schechtman [25]. Operads rev