MATH-687 / 2 credits

Teacher: Heine Hadrian Ernst Hermann

Language: English


Only this year


ln this course we will develop algebraic and coalgebraic models for homotopy types. Among other things we will learn about Quillen's and Sullivan's model of rationâl homotopy types and about Mandell's theorem in p-adic homotopy theory.



Rational homotopy theory, p-adic homotopy theory, Sullivan model, Koszul duality, E_infinity-algebras, unstable algebras

Learning Prerequisites

Required courses

Some familiarity with homotopy theory, category theory.

Learning Outcomes

  • why algebraic models for homotopy types are useful.
  • Translate between different models of homotopy types.



Classical sources for rational homotopy theory

Mandell's article: E_infinity algebras and p-adic homotopy theory

Ressources en bibliothèque

In the programs

  • Exam form: Project report (session free)
  • Subject examined: Algebraic models for homotopy types
  • Lecture: 28 Hour(s)

Reference week