AbstractGiven a compact Riemann surface C, nonabelian Hodge theory relates topological and algebro-geometric objects associated to C. Specifically, complex representations of the fundamental group are in correspondence with algebraic vector bundles on C, equipped with an extra structure called a Higgs field.This gives a transcendental matching between two very different moduli spaces for C: the...
AbstractIn this talk, I will explain the relationship between the Morrison-Kawamata cone conjecture for Calabi-Yau fiber spaces and the existence of Shokurov polytopes. For K3 fibrations, this enables us to establish the existence of (weak) fundamental domains for movable cones. This is joint work with Hang Zhao.Speaker李展, 南方科技大学助理教授,研究方向为代数几何,特别是双有理几何。2014年博...