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Invariant Theory

MA5131Elective Modules6 ECTSEnglishUnregelmäßigDepartment Mathematics
AI-edited module sheet. Based on the TUMonline module description, edited for readability.Original in TUMonline

What it is about

You learn the foundations and methods of invariant theory: behavior of orbits, generation and structure of invariants as well as classical and modern results for finite and reductive groups. In the end you can work on examples, connect algebraic and geometric perspectives, and practically apply methods to concrete problems.

What you will be able to do

  • Understanding of orbits and invariants
  • Knowledge of classical results of invariant theory
  • Familiarity with invariant theory of reductive groups
  • Understanding invariant theory of finite groups
  • Habit of applying aspects of geometric invariant theory
  • Applying methods to concrete examples
  • Translating between algebraic and geometric viewpoints

What the module consists of

  • Lecture (blackboard)Main transmission of concepts and theorems (3 hours/week)
  • Exercise/Practice sessionDiscussion of problem sheets for deepening (1 hour/week)

Teaching method

  • Chalk-and-talk lectureExplain definitions, proofs and examples
  • Problem sheets and practice sessionsDeepening and application of methods to problems
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Official page in TUMonline · Details are not binding.