Student seminar in pure mathematics

Summary

In this seminar we will study toric varieties, a well studied class of algebraic varieties which is ubiquitous in algebraic geometry, but also relevant in theoretical physics and combinatorics.

Content

Learning Prerequisites

Recommended courses

- Introduction to differentiable manifolds

- Algebraic topology

- Algebraic curves

Learning Outcomes

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

• Demonstrate their knowledge about toric varieties.

Transversal skills

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

Teaching methods

Each participant will give a lecture on a subject on toric varieties. The lecture is complemented by the professor and exercise sessions.

Expected student activities

Prepare a lecture, 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

Toric Varieties by D. Cox, J. Little and H. Schneck

Ressources en bibliothèque

• Toric Varieties / Cox

Moodle Link

• https://go.epfl.ch/MATH-563