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SUMMARY:Xiaowei Wang (Rutgers University)
DTSTART:20240131T083000Z
DTEND:20240131T093000Z
DTSTAMP:20260422T155204Z
UID:HKUST-AG/36
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HKUST-AG/36/
 ">Moment map and convex function</a>\nby Xiaowei Wang (Rutgers University)
  as part of Algebra and Geometry Seminar @ HKUST\n\nLecture held in 4472.\
 n\nAbstract\nThe concept moment map plays a central role in the study of H
 amiltonian actions of compact Lie groups $K$ on symplectic manifolds $(Z\,
  \\omega)$. In this talk\, we propose a theory of moment maps coupled with
  an $Ad_K$-invariant convex function $f$ on $\\mathfrak{t}^*$\, the dual o
 f Lie algebra of $K$\, and study the structure of the stabilizer of the cr
 itical point of $f\\circ\\mu$ with moment map $\\mu: Z \\to \\mathfrak{t}^
 *$. This work is motivated by the work of Donaldson on Ding functional\, w
 hich is an example of infinite dimensional version of our setting. In part
 icular\, we obtain a natural interpretation of Tian-Zhu's generalized Futa
 ki-invariant and Calabi-decomposition.\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/36/
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