Universität Wien
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250125 VO Selected topics in number theory (2012S)

3.00 ECTS (2.00 SWS), SPL 25 - Mathematik

Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Thursday 08.03. 12:00 - 14:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Thursday 15.03. 12:00 - 14:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Thursday 22.03. 12:00 - 14:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Thursday 29.03. 12:00 - 14:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Thursday 19.04. 12:00 - 14:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Thursday 26.04. 12:00 - 14:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Thursday 03.05. 12:00 - 14:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Thursday 10.05. 12:00 - 14:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Thursday 24.05. 12:00 - 14:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Thursday 31.05. 12:00 - 14:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Thursday 14.06. 12:00 - 14:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Thursday 21.06. 12:00 - 14:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Thursday 28.06. 12:00 - 14:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II

Information

Aims, contents and method of the course

The course gives an introduction to the theory of algebraic curves. The emphasis will be on the connections with algebraic number theory. On the one hand Algebraic curves can be studied with methods which are analogous to methods in algebraic number theory; on the other hand the study of such curves solves important problems in algebraic number theory. Examples for this are given by the zetafunction of algebraic curves which is defined in analogy with the zeta function of a number field and the construction of extensions of number fields using ellitpic curves. We want to adress both these problems in the course. Prerequisites are knowledge of basic notions of algebraic number theory and algebraic geometry.

Assessment and permitted materials

Minimum requirements and assessment criteria

Knowledge of basic topics from the number theory of elliptic curves.

Examination topics

Reading list

Association in the course directory

MALV

Last modified: Tu 02.07.2024 00:17