2-28【Kartick Ghosh】Computing the α-Futaki character

发布时间:2025-02-24来源:几何与物理研究中心中文网页浏览次数:85

报告人:Kartick Ghosh (TIFR)

时间:2025年2月28日 14:30-15:30

地点:Zoom会议号:‪824 8752 3190‬,密码:621724

          入会链接:https://us06web.zoom.us/j/82487523190?pwd=r8qH3cZHPbCa8PirEBjteYY1DDm7dC.1



Álvarez-Cónsul–Garcia-Fernandez–García-Prada introduced the Kähler-Yang-Mills equations. They also introduced the α-Futaki character, an analog of the Futaki character, as an obstruction to the existence of solutions of the Kähler-Yang-Mills equations. In this talk, we will prove a formula for the α-Futaki character for certain ample line bundles over toric manifolds. We will then compute the α-Futaki character in some cases and compare it with the known existence result of Keller–Tønnesen-Friedman.