Descrizione
Abstract: In the 1950s Lang studied the properties of C_1 fields, that is, fields over which every hypersurface of degree at most n in a projective space of dimension n has a rational point. Later he conjectured that every smooth proper rationally connected variety over a C_1 field has a rational point. I will explain how to find rational points on some Fano threefolds over C_1 fields of characteristic 0.