Universität Wien

250053 SE Seminar (Number theory) (2010S)

4.00 ECTS (2.00 SWS), SPL 25 - Mathematik
Continuous assessment of course work

Details

Language: German

Lecturers

Classes (iCal) - next class is marked with N

  • Wednesday 03.03. 09:00 - 11:00 Seminarraum
  • Wednesday 10.03. 09:00 - 11:00 Seminarraum
  • Wednesday 17.03. 09:00 - 11:00 Seminarraum
  • Wednesday 24.03. 09:00 - 11:00 Seminarraum
  • Wednesday 14.04. 09:00 - 11:00 Seminarraum
  • Wednesday 21.04. 09:00 - 11:00 Seminarraum
  • Wednesday 28.04. 09:00 - 11:00 Seminarraum
  • Wednesday 05.05. 09:00 - 11:00 Seminarraum
  • Wednesday 12.05. 09:00 - 11:00 Seminarraum
  • Wednesday 19.05. 09:00 - 11:00 Seminarraum
  • Wednesday 26.05. 09:00 - 11:00 Seminarraum
  • Wednesday 02.06. 09:00 - 11:00 Seminarraum
  • Wednesday 09.06. 09:00 - 11:00 Seminarraum
  • Wednesday 16.06. 09:00 - 11:00 Seminarraum
  • Wednesday 23.06. 09:00 - 11:00 Seminarraum
  • Wednesday 30.06. 09:00 - 11:00 Seminarraum

Information

Aims, contents and method of the course

The seminar is devoted to Hilbert's tenth problem. Our starting point will be the paper "Hilbert's tenth problem is unsolvable" by Martin Davis, which contains an accessible presentation of its solution. After that we will study some of its consequences and new developments in recent years. For further information (in German) go to
http://www.mat.univie.ac.at/~baxa/ss2010se.html

Assessment and permitted materials

The grade is determined by the quality of the student's talk and his or her participation in the discussion of others' talks.

Minimum requirements and assessment criteria

Our aim is a thorough survey of the solution of Hilbert's tenth problem and the methods used to this end. In addition, we want to give an introduction to interesting developments in recent years.

Examination topics

Participants will present the material in individual talks. (Each participant will be assigned sections from the papers we study and will be given support when preparing the presentation.) A preliminary schedule of talks will be agreed on at an introductory meeting on March 3, 2010.

Reading list

M. Davis, Hilbert's tenth problem in unsolvable, Amer. Math. Monthly 80 (1973), 233-269.
M. Davis, On the number of solutions of Diophantine equations, Proc. Amer. Math. Soc. 35 (1972), 552-554.
J. P. Jones, D. Sato, H. Wada, D. Wiens, Diophantine representation of the set of prime numbers, Amer. Math. Monthly 83 (1976), 449-464.
Yu. V. Matiyasevich, Hilbert's Tenth Problem, MIT Press, Cambridge, MA, 1993.
B. Poonen, Undecidability in number theory, Notices Amer. Math. Soc. 55 (2008), 344-350.
A. Shlapentokh, Hilbert's Tenth Problem, Cambridge University Press, Cambridge, 2007.

Association in the course directory

MALS

Last modified: Mo 07.09.2020 15:40