Room 509, Cosmology Building, NTU
(臺灣大學次震宇宙館 509研討室)
Complex Analytic Spaces from the Perspective of Berkovich Geometry
Keita Goto (National Taiwan University)
Abstract
Berkovich geometry was established by V. G. Berkovich in 1990 to introduce analytic techniques into algebraic geometry over arbitrary fields.
Historically, this was not the first attempt. In 1961, J. Tate had already established such a theory over non-Archimedean fields, which is known as rigid geometry.
However, Berkovich geometry has many great features that are absent in rigid geometry. One of them is its high affinity with complex geometry.
In this talk, I'll briefly explain this feature by introducing basic results in Berkovich geometry.
If time permits, I'll also explain my previous works related to it.
Organizers: Kuan-Wei Chen (NCTS), Wille Liu (AS)
