Metric Geometry of the Fukaya Category
报告专家:张秉宇副教授(基辅经济学院)
报告时间:7月2日(星期四)下午 3:00-4:00
报告地点:国家天元数学西南中心516
报告摘要:
The spectral metric on Lagrangians and its completion provide a complete metric space structure on the set of Lagrangians. On the other hand, the spectral metric also has a natural categorical interpretation through its extension to the Fukaya category, which helps us understand more structural properties of this space. In this talk, I will explain two related results concerning this aspect of the spectral metric: 1) the density of cotangent fibers in disk bundles; and 2) the non-compactness of the spectral metric in general. These results are related to a conjecture of Viterbo. The talk is based on joint works with Tatsuki Kuwagaki, and with Stéphane Guillermou and Claude Viterbo.
专家简介:
张秉宇,法国格勒诺布尔大学博士,南丹麦大学博士后。现于基辅经济学院任Simons助理教授。研究兴趣:微局部层论,辛几何,同伦代数。
邀请人:曲华迪

