##### Department of Mathematics,

University of California San Diego

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### Math 196/296 - Student Colloquium

## Mark Gross

#### UCSD

## Amoebas and tropical geometry

##### Abstract:

Suppose one has a polynomial equation in two variables, $f(x,y)=0$. This defines a curve, but if we work over the complex numbers, it in fact defines a surface in $C^2$, which is difficult to visualize. I will discuss ways of visualizing these surfaces by introducing the concepts of amoebas, and their relationship to a new notion known as tropical geometry. \vskip .2in \noindent Refreshments will be served!

Host:

### November 17, 2004

### 11:00 AM

### AP&M 2402

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