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250073 VO Special Topics in Model Theory (2024S)

5.00 ECTS (3.00 SWS), SPL 25 - Mathematik
Moodle

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Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Tuesday 05.03. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
  • Thursday 07.03. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
  • Thursday 14.03. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
  • Tuesday 19.03. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
  • Thursday 21.03. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
  • Tuesday 09.04. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
  • Thursday 11.04. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
  • Tuesday 16.04. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
  • Thursday 18.04. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
  • Tuesday 23.04. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
  • Thursday 25.04. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
  • Tuesday 30.04. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
  • Thursday 02.05. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
  • Tuesday 07.05. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
  • Tuesday 14.05. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
  • Thursday 16.05. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
  • Tuesday 21.05. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
  • Thursday 23.05. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
  • Tuesday 28.05. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
  • Tuesday 04.06. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
  • Thursday 06.06. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
  • Tuesday 11.06. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
  • Thursday 13.06. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
  • Tuesday 18.06. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
  • Thursday 20.06. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
  • Tuesday 25.06. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01

Information

Aims, contents and method of the course

Model theory is a branch of mathematical logic which applies the methods of logic to the study of mathematical structures, and thus has impact on other parts of mathematics (e.g., number theory, analytic geometry).

Since its beginnings in the early decades of the last century, the perception of what the subject is about has gone through various incarnations. A modern view holds that model theory is the "geography of tame mathematics" (Hrushovski), with the goal of identifying those classes of structures whose first-order theories can be understood (in some well-defined technical sense), and exploiting such an understanding as a tool in other parts of mathematics.

This course is a continuation of my class Model Theory from last semester, and will explore more advanced topics. However, I will not assume that you attended the preceding class: a basic knowledge of the language and fundamental results of first-order logic should suffice to successfully follow the class this semester.

Assessment and permitted materials

Based on a written take-home exam (use of your lecture notes will be permitted). Possible dates announced in the first lecture.

Minimum requirements and assessment criteria

Examination topics

Topics to be covered: Omitting types, countable categoricity. Totally transcendental theories, strong minimality, Morley's Theorem. Imaginaries and their elimination. Basic stability theory. Other topics as time permits.

Reading list

Association in the course directory

MLOV

Last modified: We 31.07.2024 12:06