SMS scnews item created by Stephan Tillmann at Tue 18 Aug 2015 1142
Type: Seminar
Distribution: World
Expiry: 17 Nov 2015
Calendar1: 26 Aug 2015 1100-1200
CalLoc1: Carslaw 535A
Auth: tillmann@p710.pc (assumed)

Geometry & Topology

Modified Futaki invariant and equivariant Riemann-Roch formula

Bin Zhou (ANU)

Wednesday 26 August 2015 from 11:00–12:00 in Carslaw 535A

Please join us for lunch after the talk!

Abstract: In this talk, we will discuss a new version of the modified Futaki invariant for a test configuration associated to the soliton action on a Fano manifold. Our version will naturally come from toric test configurations defined by Donaldson for toric manifolds. As an application, we show that the modified K-energy is proper for toric invariant Kahler potentials on a toric Fano manifold. Our method can be also used to study the conical Kahler-Ricci solitons on such a manifold. This is a joint work with Feng Wang and Xiaohua Zhu.