**SMS scnews item created by John Enyang at Sun 10 Mar 2013 1720**

Type: Seminar

Distribution: World

Expiry: 16 Mar 2012

**Calendar1: 15 Mar 2013 1205-1255**

**CalLoc1: Carslaw 373**

Auth: enyang@penyang.pc (assumed)

### Algebra Seminar

# Some applications of the Combinatorial Nullstellensatz

### Karolyi

###### Friday 15th March, 12:05-12:55pm, Carslaw 373

###### Speaker:

Gyula Karolyi (University of Queensland)

###### Title:

Some applications of the Combinatorial Nullstellensatz

###### Abstract:

The Combinatorial Nullstellensatz, introduced by Noga Alon in his 1999 seminal paper, effectively describes the structure of polynomials that vanish on a Cartesian product. Due to this effectiveness, it has a wide range of applications from finite geometry to combinatorial arithmetic to graph colourings. A recent variant even connects to statistical mechanics and representation theory by allowing us to turn often difficult constant term evaluations into simple combinatorial problems. In this talk, very elementary in nature, I will illustrate the methodology through some examples.

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We will take the speaker to lunch after the talk.

See the Algebra Seminar web page for information about other seminars in the series.

John Enyang John.Enyang@sydney.edu.au