### Mathematics Colloquium

# Stefan Maubach

### (Jacobs University)

## "The mysteries of affine algebraic geometry"

** Date: ** |
Mon, September 20, 2010 |

** Time: ** |
17:15 |

** Place: ** |
Research II Lecture Hall |

**Abstract:** In this talk I will tell you about the mysteries of a topic called Affine Algebraic Geometry.
I will do this mainly by discussing some of the "big" problems and "big" results in the field, and just giving a generic introduction into the field.

Though the name "Affine Algebraic Geometry" sounds a bit awe-inspiring
(to some people), it is in fact one of the more down-to-earth topics in Algebraic Geometry. An example: the most basic (algebraic) affine space is *k*^{n}, where *k* is a field.
Other examples are zero sets of polynomials (or ideals) in *k*[*X*_{1},...,*X*_{n}]$, i.e. algebraic subsets of *k*^{n}.

It should be possible to follow (most of) the talk with some knowledge of linear algebra.