On Berkovich's non-Archimedean analytic spaces

Thời gian: 14:00 đến 15:00 Ngày 25/10/2024

Địa điểm: Phòng C101, VIASM, 157 phố Chùa Láng, Hà Nội

Báo cáo viên: Lê Quý Thường, Trường Đại học Khoa học tự nhiên, Đại học Quốc gia Hà Nội

Tóm tắt: Berkovich developed the theory of non-Archimedean analytic spaces (recently called Berkovich spaces) in the 1990s. Berkovich added many more "generic" points so that his spaces are honest topological spaces, which is considered a great contribution of this theory to rigid non-Archimedean geometry. Beyond generalizing classical rigid geometry, Berkovich's theory also works in trivially valued and even Archimedean fields. Furthermore, geometric objects in Archimedean and non-Archimedean contexts can be defined and studied. The talk will introduce Berkovich's construction and mention some applications.