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Grantor: Czech Academy of Sciences

**Objectives**:

Operads are objects formalizing compositionsof operations with several inputs. They were invented to describe homotopy invariant structures on topological spaces. Later it turned out that they can be used as well for the study of sundry structures in geometry, algebra and mathematical physics.

The research supported by Praemium Academie is aimed at formulating a unifying paradigm for very general operadic structures, and using this emerging systematic approach for proving various results in algebra, geometry and mathematical physics. Our team is international from the very beginning, as emphasized by the planned positions for postdocs and foreign specialists.

Main investigator:

IM team members:

Bashkirov Denis Batanin Michael Gagna Andrea Khavkine Igor |
Lanari Edoardo Obradović Jovana Trnka Dominik |

Participating institutions:

Institute of Mathematics, Czech Academy of Sciences