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Professor Laboratoire Analyse, Géométrie et Applications Université Sorbonne Paris Nord Institut Galilée 99, Avenue Jean-Baptiste Clément 93430 Villetaneuse, France Bureau D412 Tél : (+33) 1 49 40 35 85 vallette@math.univ-paris13.fr |
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BooksMaurer--Cartan methods in deformation theory: the twisting procedure, with Vladimir Dotesnko and Sergey Shadrin, 181 pages, London Mathematical Society Lecture Note Series, Cambridge University Press (2023).![]() This monograph provides an overview on the Maurer-Cartan methods in algebra, geometry, topology, and mathematical physics. It offers a conceptual, exhaustive and gentle treatment of the twisting procedure, which functorially creates new differential graded Lie algebras, associative algebras or operads (as well as their homotopy versions) from a Maurer-Cartan element. Algebraic Operads, with Jean-Louis Loday, 654 pages, Grundlehren der mathematischen Wissenschaften, Volume 346, Springer-Verlag (2012). This book contains three main parts on Koszul duality theory, algebraic operads and homotopical algebra respectively. To download it (last draft): Algebraic Operads To order it (final version): Springer |
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In
order to support public research, I now submit my articles only to
(free) academic journals.
Homotopy
theories: Master II course (Paris, November-December). 2018
, 2020
& 2021
Algebra
+ Homotopy = Operads: Master II course (Paris,
November-December 2017). Web
page
Mathematics
234: Multiple Integration and Vector Calculus
(Northwestern 2007). Web
page
Last update: January
23, 2025.