Host Institution: |
RMIT |
Title of Seminar: |
Abelian groups: their role in the pathological behaviour of braids and the downfall of democracy! |
Speaker's Name: |
Prof Brian Davey |
Speaker's Institution: |
La Trobe University |
Time and Date: |
Friday 24 May, 4.00 PM (AEST) |
Seminar Abstract: |
A famous theorem in social choice theory, due to Kenneth Arrow, says that there is no "reasonable" system for combining preference orders. For example, in an election we may want a system for taking the voters' various rankings of the candidates in order of preference and obtaining a single ranking of the candidates. I will discuss an unexpected connection between Arrow's Theorem and my research into braids (a kind of partially ordered set). Indeed, my study of braids led to a theorem about finite abelian groups that can be applied to simplify the proof of Arrow's Theorem; a surprising interconnection between three apparently quite different parts of mathematics. The talk will be aimed at a general audience and will assume nothing other than some elementary facts about abelian groups. |
Seminar Convenor: |
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AGR IT support: |
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