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...
AbstractAfter a brief introduction of Frobenius splitting in positive charactersitic, we report some progresses about moduli space of vector bundles on a curve in this direction. This is based on a program with Professor Xiaotao Sun.About the speaker周明铄,天津大学应用数学中心副研究员。研究方向为代数几何。Personal Website:http://cam.tju.edu.cn/faculty/teacherDetail.php?id=68