Professor Marco Manetti was born in 1966. He is full professor of geometry at the Sapienza University of Roma, Italy (since 2001). His research interests involve algebraic geometry, deformation theory, homotopical algebra and higher operations in geometry. He is the author of the book "Topologia", Springer UTX (2008). 

1. An Overview of Deformation Theory of Complex Manifolds.- 2. Lie Algebras.- 3. Functors of Artin Rings.- 4. Infinitesimal Deformations of Complex Manifolds and Vector Bundles.- 5. Differential Graded Lie Algebras.- 6. Maurer-Cartan Equation and Deligne Groupoids.- 7. Totalization and Descent of Deligne Groupoids.- 8. Deformations of Complex Manifolds and Holomorphic Maps.- 9. Poisson, Gerstenhaber and Batalin-Vilkovisky Algebras.- 10. L1-algebras.- 11. Coalgebras and Coderivations.- 12. L1-morphisms.- 13. Formal Kuranishi Families and Period Maps.- References.