Connected algebraic groups acting on Fano fibrations over P1
Viernes 09 de Julio. Vía ZOOM UFRO. 12:00 Hrs.
Conferencista: Enrica Floris. Université de Poitiers, Francia.
LetGbe a connected algebraic group andXa variety endowed with a regular action ofGand a Mori fibre spaceX/P1whose fibre is a Fano variety of Picard rank at least 2. Inthis talk I will explain why there is a proper horizontal subvariety ofXwhich is invariantunder the action ofG, alongside with some applications of this result to the classificationof connected algebraic subgroups of the Cremona group in dimension 4. This is a jointwork with J ́er ́emy Blanc.