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學術專區

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演講
活動開始時間2018-11-05 16:00:00
活動結束時間2018-11-05 17:00:00
活動名稱學術演講-Morse inequalities for Fourier components of Kohn-Rossi cohomology of CR covering manifolds with $S^1$-action
主講者黃榮宗 教授 (國立中央大學)
活動地點綜合三館4F Lecture Room B
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參考連結 
備註Abstract
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.
最後更新日期2018-10-29 09:08:29
20161228
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