Isabelle Gallagher, Ph.D.Professor, Professor of Mathematics, École Normale Supérieure de Paris (ENS)
Director, Foundation Sciences Mathématiques de Paris
Simons Foundation Lectures are free public colloquia related to basic science and mathematics. These high-level talks are intended for professors, students, postdocs and business professionals, but interested people from the metropolitan area are welcome as well.
A huge system of equations describes the interactions of waves, such as those found in fluid dynamics and quantum mechanics. The theory of wave turbulence is designed to extract from those equations a ‘master equation’ that retains the physical system’s essential features. The interest of such a procedure is to drastically decrease the complexity of the system while exhibiting some universal behavior despite the underlying complexity of the interactions. This theory is yet to be set on rigorous foundations. In this talk, Isabelle Gallagher will focus on the more tractable case where the interactions are between particles (like atoms in a gas) instead of waves. She will show that the ‘master equation’ turns out to be Boltzmann’s famous equation, which he formally derived in 1872.
Registration is required for this free event.
Further instructions and access to join the webinar will be sent to all registrants upon sign up.