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Real tropical geometry


Speaker: Oleg Viro, Uppsala Universitet, Sweden
Location: 693 Kerr
Start time: Mon, Apr 12 2004, 4:10PM

Shortly tropical geometry can be described as an algebraic geometry over a semifield of real numbers with operations of maximum and addition. This is a piecewise linear geometry based on piecewise linear convex functions. Real algebraic varieties can be constructed via perturbation (or quantization) of real tropical varieties (tropical varieties enhanced by certain signs).