1. Konstruktion exzeptioneller Motive 2. Faltungsmotive und das Umkehrproblem der Galoistheorie 3. De Rham- und Hodge-Theorie der Faltung 4. Langlands-Korrespondenz und die Faltung

• Applicant: Professor Dr. Michael Dettweiler
• Subject Area: Mathematics
• Term: from 2006 to 2011
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 25046103

• Final Report Year: 2011

Final Report Abstract

No abstract available

Publications

• Middle convolution of Fuchsian system and the construction of rigid differential systems. Journal of Algebra, Volume 318 (2007), 1-24
  M. Dettweiler and S. Reiter
  
• Painleve equations and the middle convolution. Advances in Geometry, Volume 7 (2007), 317-330
  M. Dettweiler and S. Reiter
  
• On the middle convolution of local systems. 2008, Grelles Journal
  M. Dettweiler
  
• Rigid local systems and potential automorphy: The G2-case. (2008)
  M. Dettweiler
  
• Fundamental group for the complement of the Cayley's singularities. Beitraege zur Algebra und Geometrie, Vol. 50, No. 2, pp. 469-482 (2009)
  M. Amram, M. Dettweiler, M. Friedman, and M. Teicher
  
• Appendix to Rigid local systems and motives of type G2. Compositio Math. 146, Issue 4 (2010)
  M. Dettweiler and N. Katz
  
• On globally nilpotent differential equations. J. Differential Equations 248 (2010) 2736 2745
  M. Dettweiler and S. Reiter
  
• On rigid covers associated to the 3-cuspidal quartic. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (2010) 80:. 1 -8, April 27, 2010
  M. Amram, M. Dettweiler, and M. Teicher
  
• Rigid local systems and motives of type G2-.With an Appendix by M. Dettweiler and N. Katz, Compositio Math. 146, Issue 4, 929-963 (2010)
  M. Dettweiler and S. Reiter