题目：Rank, symmetric rank and their decompositions of tensors over arbitrary fields
报告人：宋晓雨（哈尔滨工业大学）
时间：2022年11月15日（星期二），9:00-10:00
地点：哈工大明德楼B区201报告厅
摘要：Comon’s Conjecture asserts that for a symmetric tensor, the rank is equal to the symmetric rank. However, the symmetric rank does not always exist. We give a necessary and sufficient condition for symmetric tensors to have symmetric rank, and give some sufficient conditions for this conjecture to be true. Moreover, we propose an algebraic method to compute the symmetric rank and symmetric rank decomposition for symmetric tensors over the binary field. Finally, we completely characterize the maximum rank of m×n×2 tensors over an arbitrary field.
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