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SUMMARY:Ismar Volić (Wellesley College)
DTSTART:20240109T150000Z
DTEND:20240109T160000Z
DTSTAMP:20260423T022915Z
UID:GEOTOP-A/74
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GEOTOP-A/74/
 ">Simplicial complexes and political structures</a>\nby Ismar Volić (Well
 esley College) as part of GEOTOP-A seminar\n\n\nAbstract\nSimplicial compl
 exes and their topology are a natural tool for modeling interactions in a 
 system and revealing its deeper underlying structures. We will discuss how
  simplicial complexes can be used to study political systems in which coal
 itions are represented by simplices. Some basic topological constructions 
 can then easily be translated into political situations such as merging of
  parties\, introduction of mediators\, or delegation of power. The topolog
 ical point of view also supplies a refined point of view on game-theoretic
  notions like the Banzhaf and Shapley-Shubik power indices of agents in a 
 political system. We will also present a generalization to hypergraphs whi
 ch captures an even richer collection of political dynamics concepts. Time
  permitting\, a recasting of some classical results from social choice the
 ory in topological and category-theoretic terms will also be mentioned.\n
LOCATION:https://researchseminars.org/talk/GEOTOP-A/74/
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