Polyhedra, functional analysis and approximation theory
Người báo cáo: David Yost (Federation University Australia)
Time: 9:00 - 10:00 AM, October 24th, 2023 (Tuesday)
Location: Room 612, building A6, Institute of Mathematics (18 Hoang Quoc Viet, Cau Giay, Hanoi)
Abstract: This talk will focus on some combinatorial properties of polytopes (a polytope is the convex hull of a finite set). For example, given natural numbers d, v, e, is there a d-dimensional polytope with v vertices and e edges? Surprisingly perhaps, this is impossible if 2e-dv lies in either of the intervals [1,d-3] or [d+3,2d-7].
Our interest in polytopes originally arose from a problem about approximation in Banach spaces. We will begin by briefly outlining this history, demonstrating the underlying unity of different branches of mathematics.
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