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A friendly introduction to the algebra/geometry correspondence in affine space
Student-Run Discrete Mathematics| Speaker: | Eddie Kim, UC Davis |
| Location: | 2112 MSB |
| Start time: | Thu, Jan 10 2008, 3:10PM |
Description
Let $k$ be a field. We will set up the basic notions of affine $n$-space $k^n$ and
study the connections between affine algebraic varieties and radical ideals of the
polynomial ring $k[x_1,\ldots,x_n]$. We'll discuss some of the basic results of
computational algebraic geometry. If time remains, we will explore the connections
between Groebner bases and convex polytopes.