Student seminar in pure mathematics

Summary

This seminar will be an introduction to homological algebra, a tool widely used in topology, algebraic geometry and many other modern areas of mathematics.

Content

Learning Prerequisites

Required courses

- Rings and Modules

- Homology

Learning Outcomes

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

• Apply tools provided by homological algebra

Transversal skills

• Make an oral presentation.
• Write a scientific or technical report.
• Access and evaluate appropriate sources of information.

Teaching methods

Each participant will lecture on a subject in homological algebra. The lecture is complemented by the professor and exercise sessions.

Expected student activities

Prepare lectures, write lecture notes and solutions to exercises. Active participation during class and exercise sessions.

Assessment methods

The grade will depend on the participants oral presentation and written reports. There will be no final exam.

Resources

Bibliography

An Introduction to Homological Algebra by C. Weibel

Ressources en bibliothèque

• Toric Varieties / Cox

Moodle Link

• https://go.epfl.ch/MATH-563