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Texas A&M University
Mathematics

Student Working Seminar in Discrete Mathematics

Date: September 23, 2014

Time: 4:00PM - 5:00PM

Location: BLOC 203

Speaker: Timo de Wolff, Texas A&M University

  

Title: Introduction to Tropical Geometry

Abstract: In the first part of this Introduction to Tropical Geometry we define the tropical semiring and introduce tropical varieties. We discuss its relation to Newton polytopes and regular subdivisions. With the tropical Bezout Theorem we give some initial outlook for the capabilities of the “tropical world”. Finally, we show how “classical” polynomials and their varieties can be “tropicalized” – via valutions as well as via amoebas and Maslov Dequantization – culminating in Kapranov’s Theorem.