MATH-658 / 1 crédit

Enseignant(s): Hemelsoet Nicolas Thierry Nathalie, Testerman Donna

Langue: Anglais


Every year


This course will explain the theory of vanishing cycles and perverse sheaves. We will see how the Hard Lefschetz theorem can be proved using perverse sheaves. If we have more time we will try to see the decomposition theorem and how to categorify certain perverse sheaves.



perverse sheaves, algebraic geometry, topology, derived category, representation theory

Learning Outcomes

By the end of the course, the student must be able to:

  • Integrate the formalism of perverse sheaves, the statement of the main results and examples.



The main reference we will follow is : "An illustrated guide to perverse sheaves" by G. Williamson (for chapter 2 and 3).

Références suggérées par la bibliothèque

Moodle Link

Dans les plans d'études

  • Forme de l'examen: Exposé (session libre)
  • Matière examinée: Vanishing cycles and perverse sheaves
  • Cours: 11 Heure(s)
  • Exercices: 6 Heure(s)
  • Type: optionnel

Semaine de référence

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