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Department of Mathematics,
University of California San Diego

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Geometry Number Seminar

Grigory Mikhalkin

University of Toronto

Amoebae and algae of real algebraic curves

Abstract:

Amoebae and algae are two natural objects that can be associated to a projective algebraic variety $V$. The amoeba is the logarithmic projection of $V$ to ${\bf R}^n$ while the alga is the complementary projection to the argument torus $(S^1)^n$. It turns out that that the topology of a plane real algebraic curve is intrinsically related to the geometry of its amoeba and alga. The talk will survey known instances of this relation.

Host: Allen Knutson

November 10, 2006

1:00 PM

AP&M 7218

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