The Unreasonable Effectiveness of Physics in Maths, David Tong | LMS Popular Lectures 2017

For centuries there has been a close relationship between mathematics and theoretical physics. For the most part, this involved physicists gleefully using ideas previously developed by mathematicians. In the past few decades, that relationship has taken a surprising twist: in their quest to understand Nature, physicists have developed new tools, such as quantum field theory and string theory, which provide insight into questions in pure mathematics.

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