The next lecture in this series is here.
This is an introductory lecture, giving an informal overview of Galois theory. We discuss some historical examples of problems that it was used to solve, such as the Abel-Ruffini theorem that degree 5 polynomials cannot in general be solved by radicals, and Wiles’s proof of Fermat’s last theorem. The classic book “Galois theory” by E. Artin has been reprinted by Dover and is strongly recommended.
This video is part of a lecture course by Richard Borcherds from 2020-21.