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401-1373-74L 3 Credits BSC D-MATH

Reading Course: Homogeneous Dynamics

Lecturers & Examiners: Prof. Dr. Manfred Einsiedler
VVZ CR n/a

Last Updated: 2026-02-05 16:29:37

Abstract

The reading course will focus on some basics of Ergodic Theory and homogeneous dynamics with the aim to understand the proofs of (special cases) of Ratner's theorems.

Objective

For understanding Ratner's theorems we will need -) conditional measures, -) entropy theory for measure preserving systems -) basics of homogeneous dynamics -) understanding entropy in terms of leafwise measures -) Ratner's shearing method to obtain additional invariance

Resources

Lecture Notes

We will use lecture notes by M. Einsiedler and T. Ward, respectively also material by M. Einsiedler and E. Lindenstrauss.

General Information

Language
English
Levels
BSC

Examination

Type
graded semester performance

Course Components

Type Title Time & Place Hours
independent project Reading Course: Homogeneous Dynamics
meetings: tba
  • By Appointment None-None
90 h semesterly

Offered In