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Georgy Scholten, NC State, Hyperplane Arrangements
February 19, 2019 | 2:00 pm - 3:00 pm EST
The study of hyperplane arrangements begins at fundamental questions such as: how many pieces can one cut a cake into with n slices? Quickly, hyperplane arrangements generate many intricately interesting mathematical structures and connections to many seemingly unrelated topics appear. I will attempt to show how matroids offer a convenient framework to study hyperplane arrangements and introduce some invariant arising in that setting, such as the Tutte polynomial. Mention will be made of Hadamard arrangements, which are of particular interest to me.