MATH-687 / 2 crédits

Enseignant: Heine Hadrian Ernst Hermann

Langue: Anglais


Frequency

Only this year

Summary

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.

Content

Keywords

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.

Resources

Bibliography

Classical sources for rational homotopy theory

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

Ressources en bibliothèque

Dans les plans d'études

  • Forme de l'examen: Rapport de TP (session libre)
  • Matière examinée: Algebraic models for homotopy types
  • Cours: 28 Heure(s)

Semaine de référence