Department of Mathematics - Seminar on Pure Mathematics - Extension and combinatorial configurations of hyperplane arrangements

3:00pm - 4:00pm
Room 4475 (Lifts 25/26)

We examine three types of extensions of hyperplane arrangements: elementary lift, parallel translation and adding a new hyperplane arbitrarily. The configuration spaces of elementary lift, parallel translation, and adding a new hyperplane are parametrized by continuous multi-variables. We classify the combinatorial types (finitely many) of the configuration spaces of the hyperplane arrangements for each of the three extensions and characterize their intersection lattices. Furthermore, we also describe the order-preserving relations on various combinatorial invariants of the extended hyperplane arrangements.

講者/ 表演者:
Dr. Houshan FU
Guangzhou University
語言
英文
適合對象
校友
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研究生
本科生
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數學系
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