Taming Infinities - Martin Hairer (2017 Fields Medal Symposium)

Martin Hairer, Imperial College London and Fields Medal 2014
Full event video: • Taming Infinities - Ma...
Some physical and mathematical theories have the unfortunate feature that if one takes them at face value, many quantities of interest appear to be infinite! What's worse, this doesn't just happen for some exotic theories, but in the standard theories describing some of the most fundamental aspects of nature. Various techniques, usually going under the common name of “renormalisation” have been developed over the years to address this, allowing mathematicians and physicists to tame these infinities.