Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
Konstantin Shramov, Steklov Mathematical Institute, Russia
Inviter:
Title:
Finite groups of birational selfmaps of surfaces
Time & Venue:
2018.10.17 9:30-10:30 N913
Abstract:
I will speak about finite groups acting by birational automorphisms of surfaces. In particular, we will consider surfaces over function fields. One of important observations here is that a smooth geometrically rational surface S is either birational to a product of a projective line and a conic (so that S is rational provided that it has a point), or finite subgroups of its birational automorphism group are bounded. I will also discuss some particular types of surfaces with interesting automorphism groups, including Severi-Brauer surfaces.