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SUMMARY:Frances Kirwan (Oxford)
DTSTART;VALUE=DATE-TIME:20211209T161500Z
DTEND;VALUE=DATE-TIME:20211209T171500Z
DTSTAMP;VALUE=DATE-TIME:20241013T132734Z
UID:globalpoisson/66
DESCRIPTION:Title: Moment maps for non-reductive group actions in Kähler geometry
\nby Frances Kirwan (Oxford) as part of Global Poisson webinar\n\n\nAbstra
ct\nWhen a complex reductive group $G$ acts linearly on a projective varie
ty $X$\, the GIT quotient $X//G$ can be identified with a symplectic quoti
ent of $X$ by a Hamiltonian action of a maximal compact subgroup $K$ of $G
$. Here the moment map takes values in the (real) dual of the Lie algebra
of $K$\, which embeds naturally in the complex dual of the Lie algebra of
$G$ (as those complex linear maps taking real values on $\\mathfrak{k}$).
The aim of this talk is to discuss an analogue of this description for GIT
quotients by suitable non-reductive actions\, where the analogue of the m
oment map takes values in the complex dual of the Lie algebra of the non-r
eductive group. This is joint work with Gergely Berczi.\n
LOCATION:https://researchseminars.org/talk/globalpoisson/66/
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