On Monday 19 October at 13:00, Diego Córdoba, research professor at the Spanish National Research Council (CSIC) at ICMAT, will give a public talk in the CSIC auditorium. He will explain his strategy for studying singularities in the equations of fluids, recognised as a precedent for recent announcements, obtained with the support of artificial intelligence models, on one of the Millennium Prize Problems.
In early September this year, it was announced that an artificial intelligence system had found a singularity in the Navier-Stokes equations, which describe the motion of fluids such as water or air, thereby answering one of the Clay Institute’s Millennium Prize Problems. A few days earlier, mathematicians Tristan Buckmaster and Levent Alpöge had presented, with the help of several AI models, further results on other fluid equations.
Buckmaster and Alpöge explicitly took as their starting point the programme that Diego Córdoba, CSIC research professor at ICMAT, and Luis Martínez-Zoroa, professor at CUNEF Universidad, have been developing for years. The Navier-Stokes result also acknowledges this work among its precedents.
One month later, on Monday 19 October at 13:00, Córdoba will explain in a talk for the general public what these problems are about and the key ideas of his strategy for tackling them, known as the “cascade of vorticity layers”. This strategy consists of building a singularity from an infinite cascade of vorticity layers. Each layer is perfectly regular, but they are designed so that each one amplifies the next.
Córdoba will also reflect on what artificial intelligence appears to have contributed and on the current state of validation of these results, which have not yet undergone peer review.
The event will take place in the CSIC auditorium, located on the Council’s central campus in Madrid. Admission is free until full capacity and requires prior registration through this form. The lecture can also be followed via live stream.
Diego Córdoba has been a member of ICMAT since the centre was founded. Image: Iñigo de Amescua/ ICMAT
About the speaker
Diego Córdoba is a CSIC research professor at ICMAT and scientific director of its Severo Ochoa programme. He holds a PhD in Mathematics from Princeton University, and his work focuses on the equations that describe the motion of fluids and the formation of singularities, especially the Euler and Navier-Stokes equations. His distinctions include two European Research Council (ERC) grants, the CSIC Margarita Salas Medal (2022) and the Julio Rey Pastor National Research Award (2023).
This text has been machine-translated. In case of discrepancy, the Spanish version shall prevail.