J. Schneider - Quotients of Cremona groups 1
Which quotients do Cremona groups admit? The answer depends on the field and on the rank. For example\, the plane Cremona group over an algebraically closed field has no abelian quotient and no finite quotient. This is no longer true for non-closed fields\, and it is also not true for Cremona groups of higher ranks. We will discuss several constructions of quotients in these cases\, focusing on those using the Sarkisov program.
