Desátý Hilbertův problém

• Thesis title in Czech: Desátý Hilbertův problém
• Thesis title in English: Hilbert's tenth problem
• Academic year of topic announcement: 2008/2009
• Thesis type: Bachelor's thesis
• Thesis language: čeština
• Department: Department of Algebra (32-KA)
• Supervisor: doc. Mgr. Pavel Růžička, Ph.D.
• Author: hidden - assigned and confirmed by the Study Dept.
• Date of registration: 06.10.2008
• Date of assignment: 24.11.2008
• Date and time of defence: 29.06.2009 00:00
• Date of electronic submission: 29.06.2009
• Date of proceeded defence: 29.06.2009
• Opponents: doc. RNDr. Jiří Tůma, DrSc.

Guidelines

Cílem práce bude prostudovat Matjasevičovo řešení desátého Hilbertova problému a některé jeho aplikace.

References

M. Davis, Hilbert's tenth problem is unsolvable, Amer. Math. Monthly 80, 233-269 (1973)
R. Lyndon a P. Schupp, Combinatorial Group Theory, Springer-Verlag, 1977
Yuri Matiyasevich, Hilbert's tenth problem, The MIT Press, Cambridge, London, 1993

Preliminary scope of work in English

The aim of the thesis shall be the understanding of Matiyasevitch's solution of Hilbert's tenth problem and some of its applications.