Xuất bản mới
Nguyễn Hữu Sáu, Piyapong Niamsup, Vũ Ngọc Phát, Linear Programming Approach to Constrained Stabilization of Positive Differential-Difference Equations With Unbounded Delay, Optimal Control Applications and Methods, 2025; 46:2581--2594 (SCI-E, Scopus) .
Đỗ Hoàng Sơn, Vũ Đức Việt, Quantitative stability for the complex Monge-Ampère equations II, Calculus of Variations and Partial Differential Equations 64 (2025), no. 8, Paper No. 269 (SCI-E, Scopus) .
Giang Trung Hiếu, Existence and uniqueness results for a nonlinear Budiansky-Sanders shell model, Journal of Engineering Mathematics, Volume 151, article number 5, (2025) (SCI-E, Scopus) .

Double coverings and integral local system cohomology of hyperplane arrangements

Người báo cáo: Sakumi Sugawara (Hokkaido University)


Time: 9:00 - 10:00 (VN time), 11:00-12:00 (Japan time) 16th February

Venue: Room 507, A6, Institute of Mathematics

Online (Zoom):

https://us06web.zoom.us/j/82191500949?pwd=UVlmYXFOMGFrQS9FY3Nja1labWRmZz09

Meeting ID: 821 9150 0949

Passcode: 123456

Abstract: It is a central question in the topology of hyperplane arrangements whether several topological invariants are combinatorially determined, for example, the rank of twisted cohomology groups of the complement, and the torsions in the homology of Milnor fibers or covering spaces. In this talk, we give a formula on the 2-torsion of double coverings, which refines the formula conjectured by Papadima-Suciu. We also discuss the recent study on integral local system cohomology groups of arrangements. This is partially joint work with Suguru Ishibashi (Arise analytics, inc.) and Masahiko Yoshinaga (Osaka University)