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Department of Mathematics,
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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