Tin tức nổi bật
Hội thảo sắp diễn ra
THE 3RD VIETNAM - KOREA JOINT WORKSHOP ON SELECTED TOPICS IN MATHEMATICS
International conference on commutative algebra to the memory of Jürgen Herzog
Xuất bản mới
Vector bundles on punctured spectrum of local rings
Người báo cáo: Đào Hải Long (University of Kansas, USA)
Thời gian: 17h15-18h30, thứ năm, 06/07/2023
Hình thức: Offline tại phòng 612 A6 và online qua google meet, cụ thể https://meet.google.com/yep-kbzk-eao?pli=1&authuser=1
Tóm tắt: Let $(R,m)$ be a local Noetherian rings. In this talk, I will discuss the category of reflexive modules that are locally free of constant rank on the punctured spectrum of $R$. Even in dimension one, this category is poorly understood until quite recently (and will be discussed in my talk at the Algebra seminar on Wednesday). When the depth of $R$ is at most $2$, such category is equivalent to the category of vector bundles on the punctured spectrum of $R$. This point of view has connected many simple statements in commutative algebra to modern topics: Picard groups, Brauer groups, Nori fundamental group schemes, etc. I will sketch these and other connections to algebraic geometry and singularity theory.