On Schiffman's conjecture for moduli spaces of parabolic Higgs bundles.
Người báo cáo: Prof. Đỗ Việt Cường (VNU University of Science)
Time: 9:30 -- 11: 00, May 20, 2026
Venue: Room 612, A6, Institute of Mathematics-VAST
Abstract: In the paper “Indecomposable vector bundles and stable Higgs bundles over smooth, projective curves, Ann. of Math. (2) 183 (2016), no. 1, 297—362”, Schiffman conjectured that the number of points of the moduli space of parabolic Higgs bundles of rank r, degree d, and generic weight w┬‾ over a smooth projective curve C defined over a finite field is independent of both degree and generic weight. In this talk, we present a confirmation of this conjecture, along with an outline of the proof.
Tin tức nổi bật
Hoạt động tuần
Hội thảo sắp diễn ra
03/08/26, Hội nghị, hội thảo:
Summer School "Complex Networks: Theory and Practice" (part 2 of Thematic Semester "GRAPHS AND BEYOND")
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
Lê Xuân Thanh,
Đỗ Thị Thùy,
Trần Văn Thắng,
Monotonic Complementarity Problems,
Vietnam Journal of Mathematics, Volume 54, pages 999–1011 (2026)
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