Non UBC
DSpace
Puchol, Martin
2018-10-16T05:02:52Z
2018-04-17T15:31
Consider an action of a connected compact Lie group on a compact complex
manifold $M$, and two equivariant vector bundles $L$ and $E$ on $M$,
with $L$ of rank 1. The purpose of this talk is to establish holomorphic
Morse inequalities, analogous to Demailly's one, for the invariant part
of the Dolbeault cohomology of tensor powers of $L$, twisted by $E$. To
do so, we define a moment map $\mu$ by the Kostant formula and then the
reduction of $M$ under a natural hypothesis on $\mu^{-1}(0)$. Our
inequalities are given in term of the curvature of the bundle induced by
$L$ on this reduction, in the spirit of "quantization commutes with
reduction"
https://circle.library.ubc.ca/rest/handle/2429/67576?expand=metadata
51 minutes
video/mp4
Author affiliation: University of Lyon
Banff (Alta.)
10.14288/1.0372801
eng
Unreviewed
Vancouver : University of British Columbia Library
Banff International Research Station for Mathematical Innovation and Discovery
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Postdoctoral
BIRS Workshop Lecture Videos (Banff, Alta)
Mathematics
Differential geometry
Topological groups, lie groups
G-invariant holomorphic Morse inequalities
Moving Image
http://hdl.handle.net/2429/67576