题目:Moment Map and Convex Function

报告人：王晓玮 教授Rutgers University（Newark）

时间：2023年12月29日 10:00-11:00

地点：蒙民伟楼1105报告厅

摘要:The concept moment map plays a central role in the study of Hamiltonian actions of compact Lie groups K on symplectic manifolds (Z, ω). In this talk, we propose a theory of moment maps coupled with an AdK -invariant convex function f on k*, the dual of Lie algebra of K, and study the structure of the stabilizer of the critical point of f ◦ μ with moment map μ : Z →k*. As an outcome, we are able to obtain a Calabi-Matsushima decomposition in this new framework. This work is motivated by the work of Donaldson on Ding functional, which is an example of infinite dimensional version of our setting. In particular, we obtain a natural interpretation of Tian-Zhu’s generalized Futaki-invariant and Calabi-decomposition.

邀请人：石亚龙 老师