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Homological Algebra

MA5140Elective Modules6 ECTSEnglishUnregelmäßigDepartment Mathematics
AI-edited module sheet. Based on the TUMonline module description, edited for readability.Original in TUMonline

What it is about

You will learn the fundamental tools of homological algebra, which are applied in topology, geometry and representation theory. In the end you can work with categorical vocabulary, compute with chain complexes and homology, and compute derived functors such as Ext and Tor.

What you will be able to do

  • Familiarity with categorical language
  • Calculations with exact sequences
  • Working with chain complexes and homology
  • Computation of derived functors, especially Ext and Tor

What the module consists of

  • VorlesungConveying the methods and theory of homological algebra
  • Übungen/ProblemblätterApplying and practicing the calculation techniques and proof methods

Teaching method

  • VorlesungExplanation of the fundamental constructions and theorems
  • ÜbungsaufgabenSecure application of the tools through independent calculation
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Official page in TUMonline · Details are not binding.