Registration Deadline: TBA

Instructor: Professor Masoud Khalkhali, Western University

Course Date: TBA
Mid-Semester Break: TBA
Lecture Time: TBA
Office Hours: TBA

Registration Fee:

• Students from our Principal Sponsoring & Affiliate Universities: Free
• Other Students: CAD$500

Capacity Limit: TBA

Format: TBA

Course Description

This course will be mostly about asymptotic expansion of finite dimensional Feynman integrals and its application to combinatorial problems like counting graphs and counting Riemann surfaces. One highlight of the course will be the celebrated Harer-Zagier calculation of the orbifold Euler characteristic of the moduli space of Riemann surfaces using combinatorics of matrix integrals. No knowledge of physics will be needed to follow this course, although the mathematics can be useful for students of theoretical physics as well.

References:

1. "Mathematical ideas and notions of quantum field theory" by Pavel Etingof (arXiv:2412.17681)
2. "Graphs on Surfaces" by Lando and Zvonkin