FP6 Research and Training Network
GTEM
Galois Theory and Explicit Methods
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Project
Activities

Contract deliverables

Part of the contract spells out deliverables that are part of the annual reporting to the European Commission.

Research reports:

  • Oct 1, 2007: milestone MD4
    Report: implementation of fast algorithm to construct generic curves of genus 2 suitable for use in cryptography. Result of task D4
    Responsible partner: Leuven
  • Oct 1, 2007: milestone MC1
    Analysis of requirements for new asymptotic and effective Galois realizations. Intermediate result of TC1 and TC2, required for TC3
    Responsible partner: Bordeaux
  • Oct 1, 2007: milestone MB2
    Report main results concerning curved complexes of moduli spaces. Intermediate result of TB2
    Responsible partner: Paris
  • Oct 1, 2007: milestone MD1
    Report: construction of curves suitable for cryptography with discrete logarithms, index calculus and pairings. Result of task D1
    Responsible partner: Essen
  • Oct 1, 2007: milestone MD7
    Report: Applications of polynomial lattices to point-finding over rational function fields. Result of Task D5
    Responsible partner: Warwick
  • Oct 1, 2007: milestone MA1
    Preliminary report on generalized lattice theory and LLL algorithms. Result of task A1, required for A2 and A4
    Responsible partner: Leiden
  • Oct 1, 2008: milestone MD2
    Report: construction of curves with RM and CM curves of genus 2. pairing-friendly curves of genus 2; resistance against side-channel attacks ; Result of tasks D1 and D2
    Responsible partner: Essen
  • Oct 1, 2008: milestone MD5
    Report: improvement of Castryck-Denef-Vercauteren algorithm for zeta function of nondegenerate curves. Result of task D4
    Responsible partner: Leuven
  • Oct 1, 2008: milestone MA2
    Report: new results on reduction theory of generalized lattices, and exploration of applications. Result of task A1 and A2, required for A4
    Responsible partner: Leiden
  • Oct 1, 2008: milestone MC4
    Database launch for Galois groups and differential Galois groups.. Initial result of TC3, TC4
    Responsible partner: Bordeaux
  • Oct 1, 2008: milestone MB5
    Elaboration of tables of Q-curves. Intermediate result of TB4
    Responsible partner: Barcelona
  • Oct 1, 2009: milestone MB3
    Report on determination of automorphism groups of fundamental groups of moduli spaces. Result of TB2
    Responsible partner: Paris
  • Oct 1, 2009: milestone MD3
    Report: use of Quadratic sieve in Brauer group index calculus. application of Brauer group methods to discrete logs ; Result of task D3
    Responsible partner: Essen
  • Oct 1, 2009: milestone MC2
    Report: new results, proven and conjectural, on the Malle conjecture. Result of TC1
    Responsible partner: Bordeaux
  • Oct 1, 2009: milestone MA4
    Report on Arakelov class group techniques, and algorithmic advances.. Theoretical results of task A3.
    Responsible partner: Rome
  • Oct 1, 2010: milestone MD8
    Report: Lattice-based methods for point-finding over number fields and function fields.
    Depends on MA1, MA2; result of tasks D5
    Responsible partner: Warwick
  • Oct 1, 2010: milestone MA3
    Report: new results on lattices techniques and applications in coding theory. Result of task A2
    Responsible partner: Lausanne
  • Oct 1, 2010: milestone MB1
    Report on new results on Galois image on l-torsion. Result of TB1
    Responsible partner: Tel Aviv
  • Oct 1, 2010: milestone MB4
    Report on Hodge decomposition of cohomology of moduli spaces. Result of TB3
    Responsible partner: Paris
  • Oct 1, 2010: milestone MB6
    Report on design and implementation of new algorithms for Shimura curve computations. Result of TB4
    Responsible partner: Barcelona
  • Oct 1, 2010: milestone MC3
    Report: applications of Hurwitz spaces to inverse Galois problems.. Result of TC2
    Responsible partner: Lille
  • Oct 1, 2010: milestone MC5
    Report: Local-global principles and algorithms for differential Galois problems. Result of TC4; contributes to TC3
    Responsible partner: Heidelberg
  • Oct 1, 2010: milestone MD6
    Report: faster construction of generic Cab-curves suitable for cryptographic use with p-adic deformations.. Depends on MD4, MD5
    Responsible partner: Leuven
  • Oct 1, 2010: milestone MA5
    Summary report on new techniques in geometry of numbers over number fields
    Responsible partner: Rome
Management reports
  • Oct 1, 2007: milestone MR1
    Annual activity report
    Responsible partner: Leiden
  • Oct 1, 2007: milestone MR5
    Annual management report
    Responsible partner: Leiden
  • Oct 1, 2008: milestone MR33
    Midterm report
    Responsible partner: Leiden
  • Oct 1, 2008: milestone MR2
    Annual activity report
    Responsible partner: Leiden
  • Oct 1, 2008: milestone MR6
    Annual management report
    Responsible partner: Leiden
  • Oct 1, 2008: milestone MR9
    Audit certificate
    Responsible partner: Leiden
  • Oct 1, 2008: milestone MR10
    Audit certificate
    Responsible partner: Barcelona
  • Oct 1, 2008: milestone MR11
    Audit certificate
    Responsible partner: Bordeaux
  • Oct 1, 2008: milestone MR12
    Audit certificate
    Responsible partner: Essen
  • Oct 1, 2008: milestone MR13
    Audit certificate
    Responsible partner: Heidelberg
  • Oct 1, 2008: milestone MR14
    Audit certificate
    Responsible partner: Lausanne
  • Oct 1, 2008: milestone MR15
    Audit certificate
    Responsible partner: Leuven
  • Oct 1, 2008: milestone MR16
    Audit certificate
    Responsible partner: Lille
  • Oct 1, 2008: milestone MR16
    Audit certificate
    Responsible partner: Warwick
  • Oct 1, 2008: milestone MR18
    Audit certificate
    Responsible partner: Paris
  • Oct 1, 2008: milestone MR19
    Audit certificate
    Responsible partner: Rome
  • Oct 1, 2008: milestone MR20
    Audit certificate
    Responsible partner: Tel Aviv
  • Oct 1, 2009: milestone MR3
    Annual activity report
    Responsible partner: Leiden
  • Oct 1, 2009: milestone MR7
    Annual management report
    Responsible partner: Leiden
  • Oct 1, 2010: milestone MR30
    Audit certificate
    Responsible partner: Paris
  • Oct 1, 2010: milestone MR4
    Final activity report
    Responsible partner: Leiden
  • Oct 1, 2010: milestone MR24
    Audit certificate
    Responsible partner: Essen
  • Oct 1, 2010: milestone MR31
    Audit certificate
    Responsible partner: Rome
  • Oct 1, 2010: milestone MR8
    Final management report
    Responsible partner: Leiden
  • Oct 1, 2010: milestone MR32
    Audit certificate
    Responsible partner: Tel Aviv
  • Oct 1, 2010: milestone MR26
    Audit certificate
    Responsible partner: Lausanne
  • Oct 1, 2010: milestone MR27
    Audit certificate
    Responsible partner: Leuven
  • Oct 1, 2010: milestone MR21
    Audit certificate
    Responsible partner: Leiden
  • Oct 1, 2010: milestone MR22
    Audit certificate
    Responsible partner: Barcelona
  • Oct 1, 2010: milestone MR23
    Audit certificate
    Responsible partner: Bordeaux
  • Oct 1, 2010: milestone MR28
    Audit certificate
    Responsible partner: Lille
  • Oct 1, 2010: milestone MR25
    Audit certificate
    Responsible partner: Heidelberg
  • Oct 1, 2010: milestone MR29
    Audit certificate
    Responsible partner: Warwick
Partners