:::

Beginning | 2018-11-05 16:00:00 |
---|---|

Ending | 2018-11-05 17:00:00 |

Event title | Colloquium-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) |

Place | Lecture Room B, 4th Floor, The 3rd General Building |

Description | Click here to read |

Attached file | File download |

Reference link | |

Note | 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. |

Last Update Time | 2018-10-29 09:08:29 |