Overview of Pluripotential Theory
Người báo cáo: Đặng Quang Tuấn (Tsinghua University, China)
Time: 9:30, Tuesday, July 28, 2026
Venue: Room 302, A5 Building
Abstract: I present a brief historical overview of potential theory, from its origins in electrostatics and the Poisson equation to its modern developments. We discuss Gauss’s foundational problems and the Dirichlet principle, as well as the analytical difficulties that led to new methods. In particular, the introduction of subharmonic functions and the Perron method provides a robust approach to solving boundary value problems. Finally, we explain how these ideas extend to several complex variables via plurisubharmonic functions, forming the basis of pluripotential theory in complex geometry.
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
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
Le Thi Hong Hanh,
Dương Trọng Luyện,
Nguyễn Minh Trí,
Nontrivial Solutions to Boundary Value Problems for Semilinear $\Delta ^{\alpha ,\beta }_{\alpha _1,\beta _1}$-Differential Equations,
Analysis and PDE in Developing Countries, Trends in Mathematics (TM, volume 17) (2026) pp 27–35, Birkhäuser/Springer, Cham, 2026 ISBN: 978-3-032-14210-8; 978-3-032-14211-5