Fields Academy Shared Graduate Course: Galois Cohomology with Applications to Number Theory
Description
Registration Deadline: September 17th, 2025
Instructor: Professor Kumar Murty, University of Toronto
Course Date: September 4th - November 25th, 2025
Mid-Semester Break: October 27th - 31st, 2025
Lecture Time: Tuesdays, 9:00 AM - 11:00 AM | Thursdays, 9:00 AM - 10:00 AM (ET)
Office Hours: TBA
Registration Fee:
- Students from our Principal Sponsoring & Affiliate Universities: Free
- Other Students: CAD$500
Capacity Limit: N/A
Format: Online via Zoom
Course Description
We will introduce Galois cohomology, develop its basic properties, and show how it can be used in several important areas of number theory including class field theory, Iwasawa theory, Stark's conjectures and the inverse problem of Galois theory. No prior knowledge of cohomology is required as we will develop the theory from scratch. However, graduate algebra and number theory will be useful.
Evaluation: Attendance