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--- seminars:comb:abstract.202002swa [2020/05/18 02:19] – [Speaker:] zaslav
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+====== Speaker: Ed Swartz (Cornell) ======
+====== Title: Polymatroids are to Finite Groups as Matroids are to Finite Fields ======
+===== Combinatorics Seminar, Tuesday, February 25, 2020 =====
+ In 1935 Whitney introduced matroids as a combinatorial abstraction of linear independence. Since then there has been a strong connection between matroids, and the geometry and combinatorics of finite dimensional vector spaces over finite fields. Polymatroids are a very simply defined generalization of matroids. I will try to convince the audience that the title is nowhere near as crazy as it sounds. I will take classic examples of how matroids and vector spaces over finite fields interact, and show that they are special cases of how polymatroids and finite groups interact.