题目：Recent Progress on DDVV-Type Inequalities

报告人：葛建全 (北京师范大学 亚洲必赢国际437)

地点：致远楼 103 室

时间：2018 年 06 月27 日 16:00-17:00

摘要：Recently, we generalize the known DDVV-type inequalities for real (skew-)symmetric and complex (skew-)Hermitian matrices into arbitrary real, complex and quaternionic matrices. Inspired by the Erd/H{o}s-Mordell inequality, we establish DDVV-type inequalities for matrices in the subspaces spanned by a Clifford system or a Clifford algebra. We also generalize the B/"{o}ttcher-Wenzel inequality to quaternionic matrices.

In this talk, we will briefly introduce the background, the new progress above, and some open questions.

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