»ã±¨±êÌâ (Title)£ºNew equivalence relations on all square matrices (¹ØÓÚËùÓз½ÕóµÄеȼ۹Øϵ)

»ã±¨ÈË (Speaker)£º»Ý²ý³£ ½ÌÊÚ£¨Ê׶¼Ê¦·¶´óѧ£©

»ã±¨¹¦·ò (Time)£º2024Äê12ÔÂ20ÈÕ (ÖÜÎå) 10:00-11:00

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿GJ303

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In this talk, we introduce three new equivalence relations on all square matrices over a field in terms of elementary divisors of matrices. We then apply these equivalence relations to describe the categorical equivalences such as derived, Morita equivalences of centralizer algebras of matrices. The study of centralizers of matrices has a long history and can trace back to F. G. Frobenius in 1880's. The talk presents parts of recent works on centralizer matrix algebras joint work with X.G. Li, J.B. Zhang, and S.J. Yin.