Koszul Duality & Operads

At the intersection of algebra, geometry, topology and mathematical physics lies the notion of operad. An operad is a well defined mathematical object that allows to code operations with multiple entries. Operads are used to organise and study higher structures appearing for instance in deformation theory and are used to define higher invariants in geometry and topology. A fundamental idea arising in this context is the Koszul duality. It was initially developed by Priddy and then adapted to the operadic flavour by Ginzburg–Kapranov et Getzler–Jones. Our aim during this workshop is first to unravel the mathematical panorama around the Koszul duality (different aspects, and terminologies are used) and secondly discuss mathematical problems occurring in this framework.

Registration is closed. All talks will be videobroadcastet.