Tin tức nổi bật
Hội thảo sắp diễn ra
27/09/25, Hội nghị, hội thảo:
Gặp gỡ Toán học 2025 - Hội thảo Khoa học các nhà nghiên cứu trẻ"
06/11/25, Hội nghị, hội thảo:
Lectures on selected areas in Pure Mathematics
24/11/25, Hội nghị, hội thảo:
Hội nghị toàn quốc lần thứ VII “Xác suất - Thống kê: Nghiên cứu, ứng dụng và giảng dạy”
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)
.
On the motives of moduli space of parabolic Higgs bundles
Người báo cáo: Đỗ Việt Cường (Đại học Khoa học Tự nhiên, Hà Nội)
Speaker: Đỗ Việt Cường (Đại học Khoa học Tự nhiên, Hà Nội)
Time: 16:30 pm, 20 November
Venue: Room 612, A6, Institute of Mathematics-VAST
Online (Join Zoom Meeting) tại link: https://zoom.us/j/99636681387?pwd=0WscBnehOJig68SqctGluVuA3RwraE.1
Abstract: Parabolic Higgs bundles were introduced by Simpson as a natural object to consider extending non-abelian Hodge theory to punctured Riemann surfaces. In “Mirror symmetry, Langland duality, and the Hitchin system, Invent. Math. 153 (2003) (1), 197-229”, Hausel and Thaddeus conjectured that the $E$-polynomial of moduli space $mathal{M}_{n,d}^w$ of parabolic Higgs bundles of rank $n$, degree $d$ and generic weight $w$ is independent of both the degree and the generic weight.
In this talk, I will explain how we can use the technique of motivic integration which is introduced in the work of Clucker and Loeser (Constructible motivic functions and motivic integration, Invent. Math. 173 (2008), 23-121) to prove that the class of $mathal{M}_{n,d}^w$ Â in the Grothendieck ring of rational Chow does not depend on $d$ and $w$. As a result, we confirm the conjecture of Hausel and Thaddeus.