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
16/06/26, Hội nghị, hội thảo:
International Conference “Complex Hyperbolicity, Function fields and Non-archimedean Arithmetic
Xuất bản mới
Nguyễn Thu Hằng,
Trương Thị Hiền,
On the set of associated radicals of powers of monomial ideals,
Journal of Algebra, 698 (2026) 224–241
.
Hà Đức Thái,
Hoàng Thế Tuấn,
An investigation of uniqueness criteria for multi-order fractional differential equations,
Journal of Differential Equations, Volume 475, 2026, 114474
.
Lương Thái Hưng,
Revisiting the Cauchy problem for the Zakharov-Rubenchik/Benney-Roskes system,
Journal of Mathematical Analysis and Applications Volume 562, Issue 2, 15 October 2026, 130728
.