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Computing the α-Futaki character

来源: 03-10

时间:Tues., 21:00-22:00, Mar. 11, 2025

地点:Zoom Meeting ID: 276 366 7254 Passcode: YMSC

组织者:Jialong Deng, Akito Futaki

主讲人:Kartick Ghosh

Differential Geometry Seminar

Organizers:

Jialong Deng, Akito Futaki

Speaker:

Kartick Ghosh (Tata Institute of Fundamental Research, Mumbai)

Time:

Tues., 21:00-22:00, Mar. 11, 2025



Online:

Zoom Meeting ID: 276 366 7254

Passcode: YMSC

Title:

Computing the α-Futaki character

Abstract:

Alvarez-Consul–Garcia-Fernandez–Garcia-Prada introduced the Kahler-Yang-Mills equations (coupled equations for a Kahler metric and a metric on a holomorphic vector bundle ). They also introduced the α-Futaki character, an analog of the Futaki character, as an obstruction to the existence of solutions of the Kahler-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.

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