## 複素解析幾何セミナー

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

### 2022年11月21日(月)

10:30-12:00   数理科学研究科棟(駒場) 128号室

Resolution of singularities for $C^{\infty}$ functions and meromorphy of local zeta functions (Japanese)
[ 講演概要 ]
In this talk, we attempt to resolve the singularities of the zero variety of a $C^{\infty}$ function of two variables as much as possible by using ordinary blowings up. As a result, we formulate an algorithm to locally express the zero variety in the “almost” normal crossings form, which is close to the normal crossings form but may include flat functions. As an application, we investigate analytic continuation of local zeta functions associated with  $C^{\infty}$ functions of two variables.
[ 参考URL ]
https://forms.gle/hYT2hVhDE3q1wDSh6