複素解析幾何セミナー

過去の記録 ~01/29次回の予定今後の予定 01/30~

開催情報 月曜日 10:30~12:00 数理科学研究科棟(駒場) 128号室
担当者 平地 健吾, 高山 茂晴, 野村 亮介

2006年11月27日(月)

10:30-12:00   数理科学研究科棟(駒場) 128号室
Aleksandr G. Aleksandrov 氏 (Institute for Control Sciences, Moscow)
Logarithmic connections along Saito free divisors
[ 講演概要 ]
We develop an approach to the study of meromorphic connections with logarithmic poles along a Saito free divisor. In particular, basic properties of Christoffel symbols of such connections are established. We also compute the set of all integrable meromorphic connections with logarithmic poles and describe the corresponding spaces of horizontal sections for some examples of Saito free divisors including the discriminants of the minimal versal deformations of $A_2$- and of $A_3$-singularities, and a divisor in $\mathbf{C}^3$ which appeared in a work of M. Sato in the context of the theory of prehomogeneous spaces.