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On the Geometry of Geometric Rank

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时间:2023-07-03  来源:

时间:7月4日(星期二)下午2点

地点:思源楼 S525

题目:On the Geometry of Geometric Rank

摘要:Geometric Rank of tensors was introduced by Kopparty et al. as a useful tool to study algebraic complexity theory, extremal combinatorics and quantum information theory. In this talk I will introduce Geometric Rank and results from their paper, in particular showing the relation between geometric rank and other ranks of tensors. Then I will present recent results of our study on geometric rank, including the connections between geometric rank and spaces of matrices of bounded rank, and classifications of tensors with geometric rank one, two and three.

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