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Bordisms and Topological Field Theories

MA5133Elective 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 theory of bordisms (Cobordisms) and their algebraic structures as well as the formulation of topological field theories as functors according to Atiyah and Segal. In the end you will be able to justify basic results, compute bordism rings, and follow and understand the connections to topological field theories as well as simple examples.

What you will be able to do

  • Understanding of (co)bordisms and bordism rings
  • Knowledge of the definition of topological field theories as functors
  • Ability to follow and reproduce proofs of the central results
  • Application of the learned techniques to calculate simple examples

What the module consists of

  • LectureConveying the theoretical foundations on bordisms and topological field theories
  • Übung/Exercise sessionsDeepening through exercises, discussion of reading tasks and examples

Teaching method

  • Lecture online (virtual blackboard)Introduction and explanation of the concepts
  • Problem sheets with subsequent discussionDeepening and applied exercises; discussion of reading tasks
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Official page in TUMonline · Details are not binding.