Sum of Hermitian squares

Người báo cáo:

Thời gian: 14:30 ngày 29/06/2026

Địa điểm: Phòng 301- nhà A5

Tóm tắt: This talk discusses the representation of positive real polynomials in Hermitian matrix variables as sums of squares. Motivated by questions in real algebraic geometry, operator theory, and quantum information, we investigate when a polynomial that is nonnegative on tuples of Hermitian matrices admits a decomposition into sums of Hermitian squares.

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Xuất bản mới
Đoàn Thái Sơn, Generic properties of the Lyapunov spectrum of compact operator cocycles on Hilbert spaces, Journal of Mathematical Analysis and Applications, Article: 131103 Volume: Volume 566, Issue 2 (2027)
Nguyễn Quốc Thắng, On rational points on homogeneous spaces over local and global fields and their Brauer and R-equivalence relations. II, Proceedings of the Japan Academy, Series A, Mathematical Sciences, 102 (7), 47-56, (July 2026)
Nguyễn Quốc Thắng, On rational points on homogeneous spaces over local and global fields and their Brauer and R-equivalence relations. I, Proceedings of the Japan Academy, Series A, Mathematical Sciences, 102 (7), 37-46, (July 2026)