オスロ大学のValerio Proietti先生の講演が下記の日程で行われます。
皆さま是非ともご参加ください。（申込不要）

日時：11月20日（木）15：00～16：30
場所：理学研究科３号館127室

タイトル：Base change, groupoid homology, and hyperbolic dynamics

概要：
In sheaf theory, base change theorems relate the direct image and the inverse image of sheaves. I will introduce a simple base change result in the context of ample groupoid modules and　homology. As an application, I will explain that groupoid homology can recover Putnam's　homology groups of Smale spaces. These are hyperbolic topological dynamical systems akin to the basic sets of Axiom A diffeomorphisms, orginally studied by Smale. The groupoids of Smale spaces produce several examples of interesting C*-algebras, and their K-theory groups are suitably approximated by groupoid homology. This approximation property can be used to show that K-theory groups of Smale space C*- algebras have finite rank (as conjectured by Kaminker, Putnam, and Whittaker), which in turn invalidates a conjecture that Smale spaces exhaust the range of K-theory on classifiable real rank zero C*-algebras.

・本学の学生は申込不要です。

・本講演は京都大学のスーパーグローバル教育プログラム、スーパーグローバルコース（数学分野）の企画講演です。当コースについての詳細はhttps://www.math.kyoto-u.ac.jp/ja/ktgu/ktgu　をご覧ください。