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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Moment map and convex function

## Moment map and convex functionAdd to your list(s) Download to your calendar using vCal - Xiaowei Wang (Rutgers, The State University of New Jersey)
- Monday 13 May 2024, 10:15-11:15
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. EMGW04 - K-stability and moment maps The concept moment map plays a central role in the study of Hamiltonian actions of compact Lie groups $K$ on symplectic manifolds. In this note, we propose a theory of moment maps coupled with an $\Ad_K$-invariant convex function $f$ on $\fk^\ast$, the dual of Lie algebra of $K$, and study the structure of the stabilizer of the critical point of $f\circ\mu$. Our work is motivated by the work of Donaldson \cite{Donaldson2017}, which is an example of an infinite dimensional version of our setting. As an application, we give a natural interpretation of Tian-Zhu’s generalized Futaki-invariant and Calabi-decomposition. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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