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Graduate student seminar: "The 4x4 minors of a 5xn matrix are a tropical basis"
Mon, December 14, 2009 9:00AM - 10:00AM
Time:9:00AM - 10:00AM
Location:Baker Board Room #245
Speakers:Melody Chan, Melody Chan
Abstract:We describe recent work proving that the 4x4 minors of a 5xn matrix are a tropical basis, answering a question of Develin, Santos and Sturmfels. Equivalently, we prove that every 5xn matrix of tropical rank at most 3 has Kapranov rank at most 3. To appear in joint work with Anders Jensen and Elena Rubei.