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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) .

Local systems in algebraic-arithmetic geometry

Người báo cáo: Hélène Esnault (Berlin, Harvard and Copenhagen)

Time: Thursday, December 21, 2023 (14:00, GMT 07)

Venue: 301 Lecture hall, A5 Building

Online participation:

Join Zoom Meeting

https://us06web.zoom.us/j/82927090825?pwd=sCz1LoTwwU9lBgM74B7Q1G1jytdD3m.1

Meeting ID: 829 2709 0825
Passcode: 123456

Abstract: Riemann proved that a topological cover of a Riemann surface is endowed with an analytic structure of a Riemann surface so that the covering is analytic. This is Riemann’s existence theorem. A Riemann surface underlies an algebraic structure which realizes it as the complex points of an algebraic curve. The topological cover is not only analytic, but algebraic as well. This goes back to Grothendieck in the proper case, to Deligne in general, who introduces the notion a regular singularities at infinity. Poincaré defined the topological fundamental group of topological manifold, in particular of Riemann surfaces. Grothendieck defined the étale fundamental group, which bridges Riemann’s existence theorem with Galois theory of fields. Those groups, defined with the help of a base point, are difficult to understand, our knowledge is limited. To study them we consider their linear representations, modulo isomorphisms as we want an invariant of the variety only, not of the chosen base point. A linear representation modulo isomorphism is a local system.

Our two hours lecture shall make a small journey through some properties of local systems which intertwine topological, analytic, arithmetic properties, some of them being, in the current state of understanding, dreams.


Registration for participation: form

Poster

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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