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401-3370-24L 4 Credits BSC , MSC D-MATH

Furstenberg's Correspondence Principle

Lecturers & Examiners: Dr. Simon Machado
Number of participants limited to 12.
VVZ CR n/a

Last Updated: 2026-02-05 16:37:24

Abstract

Furstenberg's correspondence principle connects ergodic theory (the study of statistical properties of dynamical systems equipped with a measure) with number theory. We study how abstract dynamical methods can help with the "concrete" problem of finding arithmetic progressions in sets of integers - proving Roth's famous theorem. We start from the ground up with an introduction to ergodic theory.

Objective

During the semester students will have to give presentations on topics around Furstenberg's principle. These presentations will be based on material from lecture notes and textbooks that will be provided. The emphasis will be on learning how to give a crystal clear presentation of a statement and a proof.

General Information

Language
English
Levels
BSC , MSC

Examination

Type
ungraded semester performance

Registration & Places

Limited places (Special selection)
Signup Start
01.01.2024
Signup End
10.02.2024
Priority: Registration for the course unit is only possible for the primary target group

Course Components

Type Title Time & Place Hours
seminar Furstenberg's Correspondence Principle
  • Fri 16:15-18:00 (HG G 26.5)
2 h weekly

Offered In

  • Mathematics Bachelor
    • Seminars (NOTICE: The number of seminar places is limited, and the special selection procedure should help to allocate the places not primarily according to the registration time. Everybody is waitlisted first when he/she tries to register for a seminar in myStudies. Moreover: Only one mathematics seminar can be chosen per semester. Notice also the course unit 401-0002-99L Generic Seminar - Second Priority / Third Priority.)
  • Mathematics Master
    • Seminars and Semester Papers
      • Seminars (NOTICE: The number of seminar places is limited, and the special selection procedure should help to allocate the places not primarily according to the registration time. Everybody is waitlisted first when he/she tries to register for a seminar in myStudies. Moreover: Only one mathematics seminar can be chosen per semester. In case you need to attend 2 seminars in this semester, please take contact with the Study Administration (email: ). Notice also the course unit 401-0002-99L Generic Seminar - Second Priority / Third Priority.)