講演者

田邊 真郷氏（北海道大学）

会場

数学研究室1（埼玉大学理工学研究科棟5階）

アブストラクト

In this talk, we consider a definable Lie groupoid in semialgebraic, subanalytic, o-minimal over $\mathbb{R}$, or more generally, Shiota’s $\mathfrak{X}$-category — roughly saying, a moduli space in a certain tame topology. Then we construct a canonical Whitney stratification of the Lie groupoid and its orbit space. This gives a generalization and refinement of results on real algebraic group action which J. N. Mather and V. A. Vassiliev independently stated.