Academics

Moduli space of vector bundles and Frobenius splitting

Time:Mon., 10:30-11:30 Nov. 6, 2023

Venue:Lecture Hall C548, Shuangqing Complex Building A双清综合楼A座C548报告厅

Speaker:Mingshuo Zhou 周明铄 Tianjin University

Abstract

After 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


DATENovember 6, 2023
SHARE
Related News
    • 0

      Frobenius Identities and the Hard Lefschetz Theorem in Combinatorics

      Speaker:Eric Katz (Ohio State University)Time:Friday, 10:00 - 11:30July 10, 2026Venue:B725, Shuangqing Complex Building AAbstract:In 2020, Papadakis and Petrotou gave a proof of the g-theorem, a characterization of the face numbers of simplicial spheres, using a surprising identity in characteristic 2. This identity implies a generic Hard Lefschetz theorem for face rings of simplicial sphere...

    • 1

      Metric asymptotics on the irregular Hitchin moduli space

      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...