Bruno VALLETTE

• Manin products, Koszul duality, Loday algebras and Deligne conjecture, Journal f¨ ur die reine und angewandte Mathematik (Crelles Journal), Issue 620 (2008), pages 105-164.. •

Workshop on Algebraic and Geometric Deformation Spaces (Max Planck Institute, Bonn, aoˆ ut 2008).. • Deformation theory of

The Givental action on genus zero cohomological field theories, also known as hypercommuta- tive algebras, is proved to be equal to the gauge symmetry action on Maurer–Cartan

Mais surtout, Kapranov avait alors racont´e ses travaux avec Victor Ginzburg dans lesquels ils g´en´eralisent la dualit´e de Koszul des alg`ebres associa- tives aux op´erades..

Theorem 4. The levelization morphism preserves this weight. This corollary is the analog of Theorem 1 with the quasi-isomorphisms given in Theorem 4. The isomorphisms between

Vallette, Manin products, Koszul duality, Loday algebras and Deligne conjecture, to appear in The Journal f ¨ur die reine und angewandte Mathematik.

Deformation theory, moduli spaces of stable curves, cohomological field theories, modular operads, homotopical algebra, graph complexes, Grothendieck–Teichmüller groups, Givental

Simultaneously the Koszul duality of operads also produces a differential graded Lie algebra which encodes homotopy algebra structures, thereby answering the philosophy of