AbstractIn 1987, Hitchin constructed a complete hyperkähler metric on the moduli space of Higgs bundles, which can be generalized to accommodate singularities. In this talk, we consider Higgs bundles with irregular singularities over the Riemann sphere. We construct a generic ray in the moduli space and study the asymptotic behavior of the Hitchin metric along this ray. Using the techniques dev...
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