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Workshop on Hilbert's 10th problem, Relations with Arithmetic and Algebraic Geometry

November 2-5, 1999

Gent, Belgium

Mathematics

Host: University of Gent
Sponsor: FWO
Homepage: http://cage.rug.ac.be/~hilbrt10/hilbert10.html
Email: hilbrt10@cage.rug.ac.be

Organizers: G. Cornelissen, J. Denef, A. Herremans, K. Hoornaert, L.Lipshitz, T. Pheidas, J. Van Geel, K. Zahidi

Description:
Topics:

Work on Hilbert's 10th problem, for various rings and fields, over the past decades.

Some model theoretic aspects and related decidability problems. Decidability for certain generic diophantine problems and for fragments of arithmetic.

The algebraic geometric structure of Diophantine families. Mazur's conjectures on the topology of rational points.

Computational aspects. Work of Rojas on (un)computability of bounds for integral points on curves and Diophantine sentences in four variables.

Complexity of diophantine geometry.

Date received: August 28, 1999

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