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An Algebraic Approach to Voting Theory -
In an election, personal, individual preferences about candidates can seem complex. But in the voting systems themselves---how we ask for people to report preferences and what we do with that information in voting theory---simple questions can lead to complex and sometimes paradoxical results. Recently, we have been able to use tools from modern algebra to address long-standing arguments over voting and tallying methods that date back to the days of Jean-Charles de Borda and Nicolas de Condorcet. In this talk, we'll explore how to frame voting methodology in terms of combinatorics and representations of finite groups.
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