The Grothendieck ring of varieties and cancellation property for orders in a quaternion algebra
Người báo cáo: Nguyễn Thế Hoàng
Thời gian: 16:30, thứ năm, 29/06/2023
Tóm tắt: A fundamental question about the Grothendieck ring of algebraic varieties is the following: whether two algebraic k-varieties with the same class in K_0(Var_k) are piecewise isomorphic. Using reduction to Krull-Schmidt categories, we reduce the above question for abelian varieties to the following cancellation problem: If we have an isomorphism Ooplus N cong M oplus N where M, N are finitely generated O-modules, and O is an order in a quaternion algebra, can we cancel out N. In this talk, I will explain a strategy to solve this problem.
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
Tin tức nổi bật
Hoạt động tuần
Hội thảo sắp diễn ra
16/06/26, Hội nghị, hội thảo:
International Conference “Complex Hyperbolicity, Function fields and Non-archimedean Arithmetic"
13/10/26, Hội nghị, hội thảo:
International Workshop on Optimization, Variational Analysis, and Control Theory
09/11/26, Hội nghị, hội thảo:
Workshop on singularities and related topics (Conference in memory of Professor Lê Dũng Tráng)
Xuất bản mới
Cấn Văn Hảo,
Naoki Kubota,
Shuta Nakajima,
Upper tail large deviation for the one-dimensional frog model,
Probability Theory and Related Fields, Volume 194, pages 1945–2023 (2026)
.
Lê Viết Cường,
Đoàn Thái Sơn,
Nguyễn Thị Thu Sương,
Proportional local assignability of two-sided dichotomy spectrum of linear time-varying systems,
Journal of Differential Equations Volume 477, 5 October 2026, 114592
.
Lê Tuấn Hoa,
Doan Quang Tien,
New bounds on Castelnuovo-Mumford regularity of monomial curves and application to sumsets,
Journal of Pure and Applied Algebra Volume 230, Issue 9, September 2026, 108323
.