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THÔNG BÁO Triệu tập thí sinh tham dự thi vấn đáp tại vòng 2
THÔNG BÁO Tuyển viên chức năm 2024
Kế hoạch tuyển viên chức năm 2024
Hội thảo sắp diễn ra
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18/09/24, Hội nghị, hội thảo:
THE 3RD VIETNAM - KOREA JOINT WORKSHOP ON SELECTED TOPICS IN MATHEMATICS
02/01/25, Hội nghị, hội thảo:
Hội nghị toàn quốc lần thứ VII “Xác suất - Thống kê: Nghiên cứu, ứng dụng và giảng dạy”
18/12/24, Hội nghị, hội thảo:
International conference on commutative algebra to the memory of Jürgen Herzog
Xuất bản mới
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Phạm Hữu Sách, Lê Anh Tuấn, Nguyễn Thế Vinh, Vector Quasi-Equilibria for the Sum of Two Multivalued Trifunctions, Journal of Optimization Theory and Applications, Volume 204, article number 44, (2025) (SCI-E, Scopus) .
Nguyễn Đình Công, Lưu Hoàng Đức, Phan Thanh Hồng, umerical Attractors via Discrete Rough Paths, Journal of Dynamics and Differential Equations, Volume 37, pages 727–748, (2025) (SCI-E, Scopus) .
Tan H. Cao, Nilson Chapagain, Haejoon Lee, Thi Phung, Nguyễn Năng Thiều, Optimal Control of Several Motion Models, Journal of Optimization Theory and Applications, Volume 205, article number 3, (2025) (SCI-E, Scopus) .

Tate modules and finitely generated projective modules over Laurent series rings

Người báo cáo: Đào Văn Thịnh


Thời gian: 16h30 thứ năm, ngày 11/05/2023

Địa điểm: Pòng 612, Nhà A6.

Link online: https://meet.google.com/yep-kbzk-eao?pli=1&authuser=4

Tóm tắt: In this talk, I will recall some deep results of Drinfeld ([Dri04]) on fpqc-local nature of the projectivity of modules over a Laurent series ring. These descent results are generalizations of a theorem of Raynaud-Gruson ([GR71]) which says that the property of a module being projective can be checked fpqc-locally. To state the results, we also need to introduce Tate modules and some related definitions. As an application, we can show that certain natural moduli stacks of local Galois representations are algebraic (or Ind-algebraic) stacks (see [EG19]).

References:

  • [Dri04] Vladimir Drinfeld, Infinite-dimensional vector bundles in algebraic geometry: an introduction, The unity of mathematics, Progr. Math., vol. 244, Birkhauser Boston, Boston, MA, 2006.
  • [EG19] Matthew Emerton and Toby Gee, Scheme-theoretic images of certain morphisms of stacks,  Journal of Algebraic Geometry (2019).
  • [GR71] Michel Raynaud and Laurent Gruson, Crit`eres de platitude et de projectivité. Techniques de planification d' un module, Invent. Math. 13 (1971)

Viện Toán học, Viện Hàn lâm Khoa học và Công nghệ Việt Nam

Địa chỉ: Số 18 đường Hoàng Quốc Việt, quận Cầu Giấy, Hà Nội

Điện thoại: 024 37563474 - Fax: 024 37564303

Email: vientoan@math.ac.vn

Viện nghiên cứu cao cấp về toán Hội Toán học Mỹ MathScinet Thư viện số (VAST) Arxiv
Lịch hoạt động chung Lịch sử dụng phòng, hội trường, hội thảo Ảnh hoạt động
Giới thiệu Đăng nhập Đăng ký tài khoản Quên mật khẩu Chính sách bảo mật
MessagesTimelineExceptionsViews7RouteQueries36Models149MailsGateSessionRequest
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