Equivariant Birational Geometry of 3-Dimensional Projective Space

The course covers the G-equivariant birational geometry of the three-dimensional projective space for a finite group G acting biregularly on the projective space. The learning outcomes include understanding the possibilities for the group G such that the projective space is not G-equivariantly birational to fibrations into rational curves or surfaces. The course teaches skills in analyzing equivariant birational geometry and its applications in the context of projective spaces. The teaching method involves a lecture format. The intended audience for this course includes students and researchers interested in algebraic geometry and birational geometry.