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Resurgence in Geometry and Physics

CIT413050Elective Modules6 ECTSEnglishUnregelmäßigDepartment Mathematics
AI-edited module sheet. Based on the TUMonline module description, edited for readability.Original in TUMonline

What it is about

The module covers methods for the analysis of divergent asymptotic series, their Borel sums, and the associated Stokes data. You will learn techniques of resurgence, Borel summability and applications in exact WKB analysis, cluster algebras, as well as in various areas of geometry and theoretical physics.

What you will be able to do

  • Identify and analyze divergent asymptotic series
  • Compute Borel sums and assess Borel summability
  • Compare different Borel summations of the same series
  • Determine Stokes data and understand their mathematical and physical interpretations
  • Understand applications in exact WKB analysis, cluster algebras, enumerative geometry, Topological String Theory, Chern–Simons theories and matrix models

What the module consists of

  • VorlesungContent is motivated and explained; general concepts are developed; interaction with students, discussions and short questions
  • ÜbungDeepening of the lecture material; simple problems are worked on in class, further tasks as homework

Teaching method

  • Frontalvortrag mit Blackboardfor the introduction and presentation of concepts and examples
  • Discussion and questions in plenarypromotes understanding and interaction
  • Übungsaufgaben (Präsenz + Hausaufgaben)ensures application and deepening of what is learned
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Official page in TUMonline · Details are not binding.