In this episode I talk to Gaetan Leclerc about some open problems in mathematics, part of the so called Millenium problems. Gaeton is a first year master student at the ENS Rennes. Before that he studied mathematics at the École Normale Supérieure de Rennes (ENS Rennes).
We cover the Navier-Stokes equations which are very important in computational fluid dynamics and thus have many applications in engineering, medicine, biology and climate science. The mathematician Grigori Perelman presented a proof of the Poincaré conjecture in three papers made available in 2002 and 2003 on the arXiv.
We also talk about the P vs NP problem in computer science. Gaetan recommended the math YouTuber 3Blue1Brown for his great visualizations of complex topics.
