学术报告
Matrices with Few Nonzero Principal Minors-杜现昆 教授 (吉林大学, 长春)
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时间： 2017-05-17
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题目：Matrices with Few Nonzero Principal Minors
报告人：杜现昆 教授 (吉林大学, 长春)
时间：2017年5月17日(周三)下午3:05--4:05
地点：首都师范大学本部教学2楼611教室
摘要：For an n by n complex matrix A, let V_A = {(d_1, … ,d_n) | (/diag(d_1, …,d_n)A)^n=0}.
We say that A is quasi-D-nilpotent if dim V_A=n-1 as an algebraic variety. It is proved that a quasi-D-nilpotent matrix has very few nonzero principal minors. We determine irreducible quasi-D-nilpotent matrices and the Frobenius normal forms of quasi-D-nilpotent matrices with respect to permutation similarity when V_A is the set of zeros of a homogeneous polynomial of degree at most 2. This is a joint with Yan Tian and Yueyue Li.
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