MATH-658 / 1 credit

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

Language: English


Frequency

Every year

Summary

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.

Content

Keywords

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.

Resources

Bibliography

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

In the programs

  • Exam form: Oral presentation (session free)
  • Subject examined: Vanishing cycles and perverse sheaves
  • Lecture: 11 Hour(s)
  • Exercises: 6 Hour(s)

Reference week