Speaker: Kartick Ghosh (TIFR)
Time: 15:00-16:00, Feb 28, 2025
Room: zoom meeting ID: 824 8752 3190, passcode: 621724
Join zoom meeting: 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.
