Paul Norbury
Adelaide
An application of computers to a topological problem
in algebraic geometry
Thursday 19th July, 2-3pm
Eastern Avenue Tutorial Room 404
The ability of a computer to find approximate roots to polynomials is very
useful when we deal with "flabby", or topological, properties of the
polynomials. In this talk I will introduce a simple topological problem
involving polynomials and describe a primitive method to solve the problem
in small cases. Already these small cases are more complicated than most
examples that appear in current research. More precisely, the lecture
considers the problem of calculating fundamental groups of complements of
plane curves, although knowledge of fundamental groups will not be
necessary.
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