Chris Peters

Professor at the Université de Grenoble I (Institut Fourier)

Curriculum: Short  version and a list of publications (2010).

Research

• A non-technical of  description  of my field of research
• Webpages related to my research
• Some recent results on compact complex surfaces.
• Books
• Notes on Mirror-Symmetry (french) (1996).  Source (french): pdf
• Ibid. English Version . More information (including sources)
• Period Mappings and Period Domains (jointly written with Jim Carlson and Stefan Müller-Stach) (2003). Further information availalable here
• Compact Complex Surfaces, Second Enlarged Edition (jointly written with Wolf Barth, Klaus Hulek and Antonius Van de Ven). (2003) Additional information here
• Mixed Hodge Theory (coauthor Joseph Steenbrink) (2008). Further information here
• Tata Lectures on Motivic Aspects of Hodge Theory.  Manuscript  (revised april 2009) 150 pp. TIFR-Lecture Notes on math. 92, Narosa Publ. Company & AMS (2010).
• Organization of summerschools and Conferences
• Grenoble Summer School, 2001
• Summerschool and conference in Guanajuato (Mexico) 2009
  
• Conference in Dijon 2009
• Workshop Period Domains and Kähler Groups
  
• Edited Proceedings
• Algebraic Cycles and Motives, Edited by Jan Nagel Univ. de Lille, Chris Peters, Univ. Joseph Fourier, Grenoble, April 2007 London Mathematical Society Lecture Note Series (No. 343) and (No. 344)
• Transcendental Aspects of Algebraic Cycles (Proceedings of the Grenoble Summer School, 2001), Edited by S. Müller-Stach and C. Peters April 2004, 310 pages
• New Trends in Algebraic Geometry Edited by K. Hulek, M. Reid, C. Peters, F. Catanese, May 1999, 494 pages
• Some recent articles
• Abelian varieties  and theta functions associated to   compact Riemannian manifolds;  constructions inspired by superstring theory (with S. Müller-Stach and V. Srinivas) (pdf)
• Bloch-type conjectures and an example of a threefold of general type.  Communications in Contemporary Mathematics Volume No.12, Issue No. 4. (2010) 587-605 (pdf). 
• Automomorphs of indefinite binary forms and K3-surfaces with Picard number 2 (joint with Federica Galuzzi and Giuseppe Lombardo).  Rendiconti Mat. Torino, Vol. 68 No. 1 (2010) 57-77 arXiv:0804.0725v1 or local .
• Lowest weights in cohomology of variations of mixed Hodge structure (joint with Morihiko Saito). Here or the complete version and here arxiv:0708.0130v2 for a first version. To appear in Nagoya Math. J.
  
• Rigidity, Past and Present, in: Proceedings of Teichmueller Theory and Moduli Problems (held at HRI, India in January 2006). Ramanujan Mathematical Society's Lecture Notes Series No. 10, (2010) 529-548   (pdf ) .
• Hodge Theory: the search for purity, in: WSPC - Proceedings, Trieste 2005 (together with J. Steenbrink) (pdf ).  See also this page
• Hodge Number Polynomials for Nearby and Vanishing Cohomology (together with J. Steenbrink) (pdf )
• Degeneration of the Leray spectral sequence (together with J. Steenbrink) (pdf )
• Monodromy of variations of Hodge structure (together with J. Steenbrink) (pdf)
• Introduction to Lawson homology (together with S. Kosarew), appeared in the above proceedings Transcendental Aspects of Algebraic Cycles (pdf)
• Arakelov type of inequalities for Hodge bundles (appeared as IF-prepublication and e-print (pdf)
• Lawson homology for varieties with small Chow groups and the induced filtration of the Griffiths group (appeared in Math. Zeitschrift 234 (2000) 209--223) (pdf)
• Geography of Spin surfaces (joint with U. Persson, X, Giao, Appeared in Topology 1996) (pdf)