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)
.
Rational and integral points on Markoff-type K3 surfaces
Người báo cáo: Dao Quang Duc
Time: 9:30 -- 11: 00, April 16, 2025
Venue: Room 612, A6, Institute of Mathematics-VAST
Abstract: Following a recent work of Fuchs, Litman, Silverman, and Tran on Markoff-type K3 (MK3) surfaces, we study the local-global principle for integral points on these surfaces. In particular, we construct a family of MK3 surfaces with infinitely many rational points but no integral points due to the Brauer–Manin obstruction, and give some counting results of a similar nature to those in recent works of Ghosh and Sarnak; Loughran and Mitankin; and Colliot-Thélène, Wei, and Xu. We also give results on the computation of geometric Picard groups and algebraic Brauer groups of MK3 surfaces in this family.