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Algebraic aspects of arrangements of hyperplanes

Hold Date
2016-05-20 16:00〜2016-05-20 17:00
Lecture Room M W1-C-512, West Zone 1, Ito campus, Kyushu University
Object person
Takuro ABE (Institute of Mathematics for Industry, Kyushu University)

Arrangements of hyperplanes are the finite sets of hyperplanes in a vector space. The simplest example is the finite set of lines in the real plane, which could be understood by junior high school student. But to these objects there are a lot of interesting problems which are studied nowadays by several mathematicians. More generally, arrangements of hyperplanes are studied by using algebra, algebraic geometry, combinatorics, representation theory, combinatorics and so on. Recently, the relations with cryptography, statistics and social choice are discussed.

Among them, my specialization is the research of arrangements by using algebra and algebraic geometry. The algebra of arrangements is the study of their logarithmic vector fields. In this talk, I will introduce the fundamental results on the study of arrangements of hyperplanes, and its algebraic aspects. Also, my resent results on algebra of arrangements will be shown.

* This seminar is combined with Algebra Seminar.