<<談話会>>
日時： 2017年11月16日(木) 16:30～17:30
場所： 立命館大学びわこ・くさつキャンパス(BKC)
ウェストウィング6階談話会室
タイトル： The geometry of a phantom circle
講演者： 夏目利一 (名古屋工業大学名誉教授)
アブストラクト：
This is an attempt to apply noncommutative geometry to study “singular spaces” like fractals.
In the first half I will explain what is noncommutative geometry, what is the philosophy behind it, what are basic tools.
In the second half I will present recent work with H. Moriyoshi of Nagoya University. The algebra of continuous functions on the Cantor ternary set contains the algebra A of continuous functions on the circle. The algebra A is called a phantom circle. I will explain why this is called a phantom circle. Noncommutative geometry is applied to detect this phantom hiding behind the Cantor set.
日本語