Gordan's lemma up to symmetry

Người báo cáo: Dinh Van Le

Time: 9:30 -- 11:00, April 5th 2023.

Venue: 612 A6.

Abstract: Gordan's lemma is a classical and fundamenral result in polyhedral geometry, stating that the lattice points in a rational finitely generated cone form an affine monoid. In this talk, I will present an extension of this result to the infinite dimensional space, in which cones and monoids under consideration are invariant with respect to actions of symmetric groups. If time permits, I will also discuss extensions of theorems of Carathéodory and Minkowski-Weyl to the equivariant setting. The talk is based on joint work with Thomas Kahle and Tim Römer.

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Nguyễn Khoa Sơn, Nguyễn Thị Hồng, Lê Văn Ngọc, Stability conditions for a class of nonlinear timevarying switched systems with delays and sectortype nonlinearities, International Journal of Systems Science, Volume 57(2), (2025), 441-461 (SCI(-E); Scopus) .
Trần Văn Thắng, Lê Xuân Thanh, Đỗ Thị Thùy, A monotonic optimization approach to mixed variational inequality problems, Optimization Letters, Volume 19, pages 1779–1800, (2025) (SCI-E, Scopus) .