Speaker: Aleksandr Pukhlikov
Title: Birationally rigid higher-dimensional Fano-Mori fibre spaces
Abstract:
The first major result on birational rigidity of Fano(-Mori) fibre
spaces was the well-known Sarkisov theorem about conic bundles.
Since then, the theory gradually progressed to del Pezzo fibrations
over the projective line, Fano fibre spaces over the projective
line and, recently, to higher-dimensional fibre spaces over
higher-dimensional base. In the talk, the earlier results will be
reminded and my last theorem on fibre spaces over a
higher-dimensional base explained.