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| Professor at the Laboratoire Analyse, Géométrie et Applications Université Paris 13 Institut Galilée 99, Avenue Jean-Baptiste Clément 93430 Villetaneuse, France Bureau D412 Tél : (+33) 1 49 40 35 85 vallette@math.univ-paris13.fr Junior member of the Institut Universitaire de France (2016-2021) |
 
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Master 2 LectureHomotopy theories (November-December 2018) : website Conference: Higher Structures
To conclude our ANR SAT project, we organise a conference at CIRM (Luminy, France) January 21-25, 2019. Page internet |
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BookAlgebraic 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 List of corrections: Erratum |
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Monoidal structures on the categories of quadratic data, with Yuri Ivanovich Manin, ArXiv:1902.03778 [38 pages]. 
The diagonal of the associahedra, with Naruki Masuda, Hugh Thomas, and Andy Tonks, ArXiv:1902.xxxxx [18 pages]. The twisting procedure, with Vladimir Dotsenko and Sergey Shadrin, ArXiv:1810.02941 [91 pages]. Toric varieties of Loday’s associahedra and noncommutative cohomological field theories, with Vladimir Dotsenko and Sergey Shadrin, ArXiv:1510.03261 [73 pages], Symmetric homotopy theory of operads, with Malte Dehling, ArXiv:1503.02701 [40 pages]. Homotopy theory of homotopy algebras, ArXiv:1411.5533 [32 pages]. Brown's moduli spaces of curves and the gravity operad, with Clément Dupont, Geometry &Topology, 21 (2017), no. 5, 2811–2850. Pre-Lie deformation theory, with Vladimir Dotsenko and Sergey Shadrin, Moscow Mathematical Journal, Volume 16, Issue 3 (2016) 505-543. Givental action and trivialisation of circle action, with Vladimir Dotsenko and Sergey Shadrin, Journal de l’École polytechnique – Mathématiques, 2 (2015), De Rham Cohomology and homotopy Frobenius manifolds, with Vladimir Dotsenko and Sergey Shadrin, Journal of the European Mathematical Algebra + Homotopy = Operad, in "Symplectic, Poisson and Noncommutative Geometry", MSRI Publications 62 (2014), 101-162 Higher Koszul duality for associative algebras, with Vladimir Dotsenko, Glasgow Mathematical Journal, 55 (2013), 55-74. The minimal model of the Batalin-Vilkovisky operad, with Gabriel Drummond-Cole, Selecta Mathematica, Volume 19, Issue 1 (2013), 1-47. Givental group action on Topological Field Theories and homotopy Batalin-Vilkovisky algebras, with Vladimir Dotsenko and Sergey Shadrin, Homotopy Batalin-Vilkovisky algebras, with Imma Galvez-Carrillo and Andy Tonks, Journal of Noncommutative Geometry (2012), Deformation theory of representation of prop(erad)s II, with Sergei Merkulov, Deformation theory of representation of prop(erad)s I, with Sergei Merkulov, Free
monoid in monoidal abelian categories, Applied Categorical Structures, 17, Issue 1 (2009), 43-61. Manin products, Koszul duality, Loday algebras and Deligne conjecture A
Koszul
duality for props, Trans. Amer. Math. Soc. 359 (2007), 4865-4943. Homology
of generalized partition posets, Journal of Pure and Applied Algebra, Volume 208, Issue 2 (February 2007), 699-725. Pointed
and multi-pointed partitions of type A and B, with Frédéric
Chapoton, J. Algebraic Combin. 23 (2006), no. 4, 295-316. Koszul
duality for PROPs, C.R.Acad.Sci Paris 338, 12 (July
2004), 909-914. Propérades en Algèbre, Topologie, Géométrie et Physique Mathématique (June 2009), "Habilitation à diriger des recherches". Dualité
de Koszul des PROPs (December 2003),
Ph.D thesis, preprint IRMA. Opérades en Algèbre, Géométrie et Physique-Mathématique, Colloquium Algèbre-Géométrie-Logique (Université de Lyon, 2009). Homotopy Batalin-Vilkovisky algebras, Seminar on Algebra, Geometry and Physics (Manin seminar, MPIM, 2009). Deformation theory of algebraic structures, Second Congrès Canada-France (Montréal, June 2008). Deformation theory of morphisms, Trends in Noncommutative Geometry (Northwestern University, 18-24 May 2007). Joan
Millès, maître de conférences (tenure position) at Toulouse University (since September 2011). Olivia Bellier, Teacher in Classes Prépartoires at Toulouse (since September 2013). Brice Legrignou, Postdoc at the University of Utrecht under the advisory of Ieke Moerdijk. Malte Dehling, (Göttingen, unofficial coadvisor with Chenchang Zhu and Thomas Schick from September 2011). Daniel Robert-Nicoud, Engineer UBS Zürich (since September 2018). Ricardo Campos, chargé de recherche (CNRS) at the University of Montpellier (since October 2018). Johan Leray, postdoctoral student from a grant DIM Math Innov, supervised with Gregory Ginot (2018-2019). Factorisation Algebras and Factorisation Homology (2017-2018) Infini-categories (2016-2017) Factorisation Algebras (2014-2015) Higher algebra (2013-2014) Drinfeld associators, Multiple Zeta Values, and Grothendieck-Teichmüller groups (2012) En Operads and Cyclic Deligne Conjecture (2008-2009) Coxeter Groups, Hyperplane Arragements and Hopf algebras (2007-2008) Model categories, André-Quillen (co)homology and Gamma-modules (2006-2007) Cohomology of finite and profinite groups (2005-2006) String Topology
(2004-2005) Grothendieck-Teichmüller Groups, Deformation and Operads, Isaac Newton Institute for Mathematical Sciences (Cambridge), Operads, deformation quantization and higher structures (MPIM, Fall 2010) Passe-Partout (Nice 2008-2009)
Koszul duality for operads and its applications in Deformation-Quantization and in Rational Homotopy Theory, Homotopy theory of Batalin--Vilkovisky algebras, Les Diablerets, January 2015. Exercises Operads 2009, Séminaires et Congrès, volume 26 (SMF) 2011, coeditor with Jean-Louis Loday. download the volume
Higher Structures, CIRM (Luminy), January 21-25, 2019. website Higher Structures Day, University Paris 13, June 21, 2018. website Arbeitstagung 2017 on "Physical Mathematics" in honor of Yuri Manin, MPIM Bonn, June 19-23, 2017. website Homotopical Algebra, Operads and Grothendieck--Teichmüller groups, Nice, September 9-12, 2014. website Bonn-Luxembourg-Strasbourg Days "Operads", University of Luxembourg, 4-5 October 2010. Website Workshop "Operads and homotopy theory", University of Lille, August 23-28, 2010. Website Thematic school and international conference on Operads, Cirm (Luminy), April 20-25 and 27-30, 2009. Website Workshop on En-operads, University of Copenhagen , November 17-21 2008. Website Workshop on props and operads, Montpellier University, Mai 22-23 2008. Website
K-Theory,
Cyclic Homology and Operads, a Conference on the occasion of
Jean-Louis Loday's XXth birthday. Jean-Louis Loday, "Operads" Period [1993-2012], personal text dedicated to the memory of a giant gone far too early. 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: February 11, 2018.
