Anna Bot

A real form of a complex algebraic variety X is a real algebraic
variety whose complexification is isomorphic to X. Many families
of complex varieties have a finite number of nonisomorphic real
forms, but up until recently no example with infinitely many had
been found. In 2018, Lesieutre constructed a projective variety
of dimension six with infinitely many nonisomorphic real forms,
and last year, Dinh, Oguiso and Yu described projective rational
surfaces with infinitely many as well. In this talk, I’ll present
the first example of a rational affine surface having uncountably
many nonisomorphic real forms.