Head Giacometti


Mathematical website of

Bruno VALLETTE


 

                                                                                       Graphical Representation (Picture)
Permutoedre

Laboratoire de Mathématiques J.A. Dieudonné
Université de Nice-Sophia Antipolis
Parc Valrose
06108 Nice Cedex 02, France
Bureau 622
Tél : (+33) 4 92 07 62 61
brunov@[antispam]unice.fr
U-Nice



Recent Preprints

vir  Givental group action of Topological Field Theories and homotopy Batalin-Vilkovisky algebras, with Vladimir Dotsenko and Sergey Shadrin, [28 pages].  PDF

vir  Algebra + Homotopy = Operad,  introduction to operads and to homotopical algebra [59 figures, 30 exercises, 43 pages, to appear].  PDF

vir  The minimal model of the Batalin-Vilkovisky operad,  with Gabriel Drummond-Cole (2011), preprint [36 pages].  PDF, ArXiv:1105.2008

Book

vir  Algebraic Operads, with Jean-Louis Loday, xviii+512 pages. To download it, click here: Algebraic Operads

Proceedings of the Conference Operads 2009

vir   Operads 2009, Séminaires et Congrès, volume 26 (SMF) 2011, coeditor with Jean-Louis Loday.  download the voulme

Programme

vir  Grothendieck-Teichmüller Groups, Deformation and Operads, Isaac Newton Institute for Mathematical Sciences (Cambridge),
        January-April 2013 (main organizer, so feel free to contact me). GDO

Master class

vir  Koszul duality for operads and its applications in Deformation-Quantization and in Rational Homotopy Theory, 
      University of Copenhaguen, April 16-27, 2012.  
Web Page

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Publications

vir  Deformation theory of representation of prop(erad)s II, with Sergei Merkulov,
      Journal für die reine und angewandte Mathematik (Crelles Journal), Issue 636 (2009), pages 125-174 [50 pages].   pdf
vir  Deformation theory of representation of prop(erad)s I, with Sergei Merkulov,
      Journal für die reine und angewandte Mathematik (Crelles Journal), Issue 634 (2009), pages 51–106 [57 pages].   pdf
vir  Free monoid in monoidal abelian categories, Applied Categorical Structures, 17, Issue 1 (2009), 43-61 [19 pages].   pdf
vir  Manin products, Koszul duality, Loday algebras and Deligne conjecture
      Journal für die reine und angewandte Mathematik (Crelles Journal)
Issue 620 (2008), pages 105–164 [50 pages].   pdf
vir  A Koszul duality for props, Trans. Amer. Math. Soc. 359 (2007), 4865-4943 [79 pages].   pdf
vir  Homology of generalized partition posets, Journal of Pure and Applied Algebra, Volume 208, Issue 2 (February 2007)
     699-725 [27 pages].  
pdf   
vir  Pointed and multi-pointed partitions of type A and B, with Frédéric Chapoton, J. Algebraic Combin. 23 (2006), no. 4,
      295-316 [22 pages].   
pdf
vir  Koszul duality for PROPs, C.R.Acad.Sci Paris 338, 12 (July 2004), 909-914 [6 pages].   pdf

Preprint to appear

vir  Homotopy Batalin-Vilkovisky algebras, with Imma Galvez-Carrillo and Andy Tonks (2009), to appear in Journal of
      Noncommutative Geometry [57 pages]. 
pdf

Ph.D. Thesis and Habilitation

vir  Propérades en Algèbre, Topologie, Géométrie et Physique Mathématique (June 2009), "Habilitation à diriger des recherches".  pdf
vir  Dualité de Koszul des PROPs  (December 2003), Ph.D thesis, preprint IRMA.  pdf

Lecture notes

vir  Opérades en Algèbre, Géométrie et Physique-Mathématique, Colloquium Algèbre-Géométrie-Logique (Université de Lyon, 2009).   pdf
vir  Homotopy Batalin-Vilkovisky algebras, Seminar on Algebra, Geometry and Physics (Manin seminar, MPIM, 2009).  pdf
vir  Deformation theory of algebraic structures, Second Congrès Canada-France (Montréal, June 2008).   pdf
vir  Deformation theory of morphisms, Trends in Noncommutative Geometry (Northwestern University, 18-24 May 2007).  pdf

Students

vir Joan Millès, maître de conférences at Toulouse University (since September 2011)
        Ph.D. thesis on "Algebras and Operads: cohomologie, homotopy and Koszul duality" (defended 3rd June 2010).

vir Olivia Bellier, Ph.D student on Koszul duality of operads over a Coxeter group and hyperplane arrangements (from September 2009).

Fields of interest 

Algebra, Topology, Geometry and Mathematical Physics.

Curriculum Vitae

You can find my curriculum vitae here:  pdf.


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Seminar

vir  Operads, deformation quantization and higher structures (MPIM, Fall 2010)
  Passe-Partout (Nice 2008-2009)

Working Group

vir  En Operads and Cyclic Deligne Conjecture (2008-2009)
vir  Coxeter Groups, Hyperplane Arragements and Hopf algebras (2007-2008)
vir  Model categories, André-Quillen (co)homology and Gamma-modules (2006-2007)
vir  Cohomology of finite and profinite groups (2005-2006)
vir  String Topology (2004-2005)

 Conferences 

  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
vir  Thematic school and international conference on Operads, Cirm (Luminy), April 20-25 and 27-30, 2009.  Website
vir  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.
      5-7 January 2006 IRMA Strasbourg (France),  WebsitePoster.

Teaching 

vir  Mathematics 234:  Multiple Integration and Vector Calculus (Northwestern 2007).  Click here

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Transhumance:  Logbook.

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Last update: September 20, 2011.