报告主题：Classifying complex Hadamard matrices and Equiangular Tight Frames
报告人：Ferenc Szollosi Postdoctoral （Aalto University）
报告时间：2019年7月3日（周三）10:00
报告地点：校本部G507
邀请人： Mikio Nakahara
报告摘要：A complex Hadamard matrix of order n is an nxn matrix of complex unimodular entries with pairwise orthogonal rows. In this talk I will survey some results on the classification of complex Hadamard matrices of small orders. I will treat the case n=5 in detail, but I will also briefly touch upon higher order matrices. The main conceptual challenge is finding and describing the unimodular solutions of a system of polynomial equations. I will introduce several techniques to deal with these, including analytic tricks and general-purpose computational tools for computing a Groebner basis. These are frequently used in experimental mathematics for discovering new matrices.
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