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Activities

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Colloquium
Beginning2018-11-05 16:00:00
Ending2018-11-05 17:00:00
Event titleColloquium-Morse inequalities for Fourier components of Kohn-Rossi cohomology of CR covering manifolds with $S^1$-action
Speaker黃榮宗 教授 (國立中央大學)
PlaceLecture Room B, 4th Floor, The 3rd General Building
DescriptionClick here to read
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NoteAbstract
Let $X$ be a compact connected CR manifold of dimension $2n+1, n > 1$. Let $\widetilde{X}$ be a paracompact CR manifold with a transversal CR $S^1$-action, such that there is a discrete group $\Gamma$ acting freely on $\widetilde{X}$ having $X = \widetilde{X}/\Gamma$. Based on an asymptotic formula for the Fourier components of the heat kernel with respect to the $S^1$-action, we establish the Morse inequalities for Fourier components of reduced $L^2$-Kohn-Rossi cohomology with values in a rigid CR vector bundle over $\widetilde{X}$. As a corollary, we obtain the Morse inequalities for Fourier components of Kohn-Rossi cohomology on $X$ which were obtained by Hsiao-Li by using Szeg\"{o} kernel method. This is based on a joint work with Guokuan Shao.
Last Update Time2018-10-29 09:08:29
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