[geometry-ml:04515] 東大数理・複素解析幾何セミナー(11月15日(月))

[Ryosuke Nomura]

皆様

東大数理・複素解析幾何セミナーのお知らせです。

《日時》2021年11月15日(月) 10:30-12:00
《形式》Zoomを用いたオンラインセミナー
《講演者》 鍋島 克輔 氏 (東京理科大学)
《タイトル》Computing logarithmic vector fields along an isolated singularity and Bruce-Roberts Milnor ideals

《講演概要》
The concept of logarithmic vector fields along a hypersurface, introduced by K. Saito (1980), is of considerable importance in singularity theory.
Logarithmic vector fields have been extensively studied and utilized by several researchers. A. G. Aleksandrov (1986) and J. Wahl (1983) considered quasihomogeneous complete intersection cases and gave independently, among other things, a closed formula of generators of logarithmic vector fields. However, there is no closed formula for generators of logarithmic vector fields, even for semi-quasihomogeneous hypersurface isolated singularity cases. Many problems related with logarithmic vector fields remain still unsolved, especially for non-quasihomogeneous cases.
Bruce-Roberts Milnor number was introduced in 1988 by J. W. Bruce and R. M. Roberts as a generalization of the Milnor number, a multiplicity of an isolated critical point of a holomorphic function germ. This number is defined for a critical point of a holomorphic function on a singular variety in terms of logarithmic vector fields. Recently, Bruce-Robert Milnor numbers are investigated by several researchers. However, many problems related with Bruce-Roberts Milnor numbers remain unsolved.
In this talk, we consider logarithmic vector fields along a hypersurface with an isolated singularity. We present methods to study complex analytic properties of logarithmic vector fields and illustrate an algorithm for computing logarithmic vector fields. As an application of logarithmic vector fields, we consider Bruce-Roberts Milnor numbers in the context of symbolic computation.

《セミナーの参加方法》
Zoomを用いたオンラインセミナーです。参加される方は以下のURLから参加登録をお願いします。
https://u-tokyo-ac-jp.zoom.us/meeting/register/tJ0vcu2rrDIqG9Rv5AT0Mpi37urIkJ1IRldB

今後の予定はこちら
https://www.ms.u-tokyo.ac.jp/seminar/geocomp/future.html

講演者も募集中です。

世話人
平地 健吾, 高山 茂晴, 野村 亮介

-------------- next part --------------
HTMLの添付ファイルを保管しました...
URL: <https://mail.math.nagoya-u.ac.jp/pipermail/geometry-ml/attachments/20211110/4a9e187c/attachment.html>