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
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
Đoàn Nhật Minh,
Nguyen Thanh Hoang,
Some remarks on subgroups of free-by-cyclic groups,
Vietnam Journal of Mathematics, Volume 54, pages 715–728 (2026)
Đoàn Nhật Minh,
Khanh Le,
Some arithmetic aspects of ortho-integral surfaces,
Transactions of the American Mathematical Society, 379 (2026), 6365-6392
Lê Dũng Mưu,
Lê Hải Yến,
An extragradient algorithm for quasiconvex equilibrium problems without monotonicity,
Journal of Global Optimization, Volume 95, pages 211–230 (2026)