A sharp bound for the resurgence of sums of ideals

Người báo cáo: Nguyễn Đăng Hợp

Time: 9:30 -- 11:00, May 10th, 2023.

Venue: Room 612, A6, Institute of Mathematics, VAST

Abstract: The resurgence of an ideal measures the failure of containment between the symbolic powers and ordinary powers of that ideal. Ideals of small resurgence tend to have nicer geometric properties. We prove a sharp upper bound for the resurgence of sums of ideals involving disjoint sets of variables, strengthening the work of Bisui–Hà–Jayanthan–Thomas. We also discuss some open problems on the resurgence of sums of ideals. This is from joint work with Do Van Kien and Le Minh Thuan.

  Hoạt động tuần
Xuất bản mới
La Văn Thịnh, Hoàng Thế Tuấn, On the Mittag–Leffler Stability of Mixed-Order Fractional Homogeneous Cooperative Delay Systems, Vietnam Journal of Mathematics, Volume 54, pages 773–789 (2026)
Đỗ Minh Thắng, Sonja Hannibal, Arnulf Jentzen, Non-convergence to global minimizers in data driven supervised deep learning: Adam and stochastic gradient descent optimization provably fail to converge to global minimizers in the training of deep neural networks with ReLU activation, Journal of Mathematical Analysis and Applications, 564 (2026) 130724
Le Thi Hong Hanh, Dương Trọng Luyện, Nguyễn Minh Trí, Nontrivial Solutions to Boundary Value Problems for Semilinear $\Delta ^{\alpha ,\beta }_{\alpha _1,\beta _1}$-Differential Equations, Analysis and PDE in Developing Countries, Trends in Mathematics (TM, volume 17) (2026) pp 27–35, Birkhäuser/Springer, Cham, 2026 ISBN: 978-3-032-14210-8; 978-3-032-14211-5