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Algebra and combinatorics of hyperplane arrangements

Hold Date
2018-06-19 12:00〜2018-06-19 13:00
Lecture Room S W1-C-503, West Zone 1, Ito campus, Kyushu University
Object person
Takuro ABE (IMI, Kyushu University)

A hyperplane arrangement is a finite set of hyperplanes in a vector space. This s originally from the Weyl arrangement, the set of all reflecting hyperplanes of a reflecting group. Since arrangements themselves are very simple, there are a lot of ways to research them. In this talk, we start from a counting problem of the connected component of the complement of arrangements, this is a combinatorics. And we explain how it is related to topology and algebra. If time permits, we want to explain the relation with the social welfare function.