Workshop Announcement:

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             Extensions of Hilbert's Tenth Problem
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                  March 21 to March 25, 2005

  American Institute of Mathematics Research Conference Center

                     Palo Alto, California

        http://aimath.org/ARCC/workshops/hilberts10th.html


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Description:
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This workshop, sponsored by AIM and the NSF, will be devoted to extensions 
of Hilbert's Tenth Problem and related questions in Number Theory 
and Geometry. The main topics for the workshop are 

1. HTP over rings and fields of algebraic numbers (in particular HTP 
   over rational numbers, Mazur's Conjectures, elliptic curve methods)
 
2. HTP over functions fields of arbitrary characteristic, elementary 
   equivalence versus isomorphism problem for function fields. 

3. HTP for rings and fields of meromorphic functions 
  (both complex and p-adic) 

The workshop is organized by
Bjorn Poonen, Alexandra Shlapentokh, Xavier Vidaux, and Karim Zahidi.

For more details please see the workshop announcement page:
http://aimath.org/ARCC/workshops/hilberts10th.html

Space and funding is available for a few more participants.
If you would like to participate, please apply by filling
out the on-line form (available at the link above) no later
than November 1, 2004. Applications are open to all, and
we especially encourage women, underrepresented minorities,
junior mathematicians, and researchers from primarily
undergraduate institutions to apply.

Before submitting an application, please read the ARCC
policies concerning participation and financial support
for participants.

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AIM Research Conference Center (ARCC):
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The AIM Research Conference Center (ARCC) hosts focused
workshops in all areas of the mathematical sciences. ARCC
focused workshops are distinguished by their emphasis on
a specific mathematical goal, such as making progress on a
significant unsolved problem, understanding the proof of an
important new result, or investigating the convergence between
two distinct areas of mathematics.

For more information about ARCC, please visit
http://www.aimath.org/ARCC/