Equivariant Birational Geometry of Three-Dimensional Projective Space

Explore the intricacies of G-equivariant birational geometry in three-dimensional projective space through this 58-minute lecture by Ivan Cheltsov from the University of Edinburgh. Delve into the analysis of finite group G actions on projective space, focusing on G-solid cases where the space is not G-birational to conic bundles or del Pezzo fibrations. Discover the explicit descriptions of G-Mori fibre spaces that are G-birational to the projective space for these specific groups. Gain insights into this collaborative research project with Arman Sarikyan, presented at the University of Miami.