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Workshop on

Pairings in Arithmetic Geometry and Cryptography

4-6 May 2009

Institut für Experimentelle Mathematik (IEM) 
Universität Duisburg-Essen

Description

The workshop will take place at May 4, 5 and 6, 2009 at the Institute for Experimental Mathematics of the University of Duisburg-Essen. In the center of the workshop are bilinear structures on ideal class groups of curves over finite fields. 
 
Besides the theoretical background computational aspects as well as applications to public key cryptography will be in considered in the talks. We plan to have four introductory mini courses (two hours each) as well as lectures about the state of the art and new perspectives. 
 
 
Everyone interested in these topics is heartily invited to come!

Registration is necessary (see form below)

Organiser: G. Frey

 Slides NEW!!!
Program

Confirmed speakers are: P. Barreto, S.Duquesne, D.M. Freeman, G. Frey, F. Hess, D. Lubicz, M. Naehrig, M. Scott, F. Vercauteren.

Program FINAL VERSION
 

Time Monday, May 4 Tuesday, May 5 Wednesday, May 6
  8:30  -   9:10 Registration    
  9:10  -   9:15 Opening    
  9:15  - 10:15 Frey: Duality in Picard Groups 1 Lubicz: Generic Groups with Pairings 1 Lubicz: Generic Groups with Pairings 2

Coffee 

10:45  -  11:45 Hess: Arithmetic in Picard Groups and Application to Pairings 1 Hess: Arithmetic in Picard Groups and Application to Pairings   2 Frey: Duality in Picard Groups 2
12:00  -  13:00 Vercauteren: Realization of Fast Pairings 1 Vercauteren: Realization of Fast Pairings 2 Barreto: Protocols for Pairings “in real life”

Lunch

14:30  -  15:30 Freeman: Construction of Elliptic Curves and Abelian Varieties with Small Embedding Degrees Hess: Pairing Lattices Scott: Fast Implementation of Pairings: Algorithms and Tricks
Coffee
16:00  -  17:00 Vercauteren: Forms of Elliptic Curves and their Arithmetic Nährig: Pairings on Edwards Curves  
17:15  -  18:15 Lubicz: Computing Modular Correspondences for Abelian Varieties Duquesne: RNS-Representations of Numbers  for ECC  
19:00                 Dinner  
 
 
Practical information

•  For get further information please send an e-mail

   G. Frey (frey@iem.uni-due.de) or J. Thiemann (thiemann@iem.uni-due.de)

•  We shall try to help with accomodation if we get the exact travel dates till April,10, 2009

•  How to get to the IEM?

 
Registration Form

For registration please complete the REGISTRATION FORM and send it by e-mail to G. Frey (frey@iem.uni-due.de) and J. Thiemann (thiemann@iem.uni-due.de) 

Registration Form