イベント

幾何学コロキウム:Magnitude homology of geodesic metric spaces with an upper curvature bound (浅尾泰彦氏,東京大学)

2019年621日 開催

開催日時

2019621 1445 2019621 1615

場所

理学部3号館3-205室 (通常と異なります)

講演者

浅尾 泰彦(東京大学)

タイトル: Magnitude homology of geodesic metric spaces with an upper curvature bound

アブストラクト:
The idea of magnitude coined by Leinster unifies several ideas of “counting” appearing in mathematics. The magnitude homology of metric spaces defined by Leinster-Shulman is a categorification of magnitude in a sense. To investigate precise meaning of magnitude homology, we study it for geodesic metric spaces by means of metric geometry. We show several vanishing theorem for magnitude homology of geodesic metric spaces with an upper curvature bound. As a corollary, we obtain a slogan “the more geodesics are unique, the more magnitude homology vanishes”.

同日16:30から幾何学コロキウム:ある非分岐仮定を満たす測地的距離空間のマグニチュードホモロジー(五味清紀氏,信州大学)が開催されます.