| Abstract: |
Many different and wide-ranging mathematical
disciplines are grouped under the heading of
geometry. What these fields have in common is a certain
spatial way of thinking, which is often a very powerful
method for solving problems. In this lecture I illustrate
various examples where geometric methods are crucial
in solving problems that at first sight seem to be far
removed from geometry.
These examples are taken from extremal set theory,
graph theory, combinatorial optimisation, and
theoretical computer science.
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