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.

  Hoạt động tuần
Xuất bản mới
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
Adam Czornik, Đoàn Thái Sơn, Nguyễn Thị Thu Sương, Pole Placement Theorem for Linear Measurable Time-Varying Control Systems with Single Input, SIAM Journal on Control and Optimization, Vol. 64, Iss. 4 (2026)
Đinh Nho Hào, Maxim Shishlenin, Van Ba Cong, Stable Numerical Solution to Multi-dimensional Nonlinear Inverse Heat Conduction Problems via Artificial Neural Networks, Lobachevskii Journal of Mathematics, Volume 47, pages 1213–1232 (2026)