##### Department of Mathematics,

University of California San Diego

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### Math 196/296 - Student Colloquium

## Jacques Verstraete

#### UCSD

## Applications of the Combinatorial Nullstellensatz

##### Abstract:

In this talk I will discuss a combinatorial specialization of Hilbert's celebrated nullstellensatz. This version has numerous applications in various branches of mathematics, such as combinatorics and graph theory, number theory, and geometry. We will discuss some striking and elegant proofs in each of these areas, together with some open problems which might yield to an approach using the nullstellensatz.

### October 14, 2008

### 12:00 PM

### AP&M B412

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