##### 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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