Title
On the Lowest Landau Level equation
Abstract
In this week’s seminar, we will study the Lowest Landau Level equation (LLL), which arises in a number of quantum mechanics situations, such as superconductivity and Bose-Einstein condensates. We will first study some basic properties of this non-linear equation: symmetries, conserved quantities and well-posedness. In order to get a better understanding of the equation, we will have a closer look at two particular types of solutions: stationary-waves and progressive-waves. If we have time, we will discuss the main conjecture on the equation, related to the Abrikosov lattice.
Please note that the seminar will take place in person in room 658 of Huxley Building.