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"Extensions of Hilbert's Tenth Problem", Workshop at the AIMath (Palo Alto CA, March 2005)

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

       at the

American Institute of Mathematics, Palo Alto, California

organized by

Bjorn Poonen, Alexandra Shlapentokh, Xavier Vidaux, and Karim Zahidi


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