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