Bilinear discretization of quadratic vector fields: integrability and geometry

https://hu-berlin.zoom.us/j/61339297016
 

We discuss dynamics of birational maps which appear as bilinear discretizations of quadratic vector fields. The corresponding dynamical systems turn out to be integrable much more often than could be expected. Various aspects of integrability of birational dynamical systems will be discussed, along with remarkable geometric structures behind some of the particular examples.