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Recruitment Talk: Sanjeevi Krishnan

The Golden Hourglass by Craig Schaffer
March 6, 2015
4:30PM - 5:30PM
CH240

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Add to Calendar 2015-03-06 16:30:00 2015-03-06 17:30:00 Recruitment Talk: Sanjeevi Krishnan Speaker:  Sanjeevi Krishnan Title: Topological Dualities in Applied Mathematics Abstract: Dualities of interest in algebraic topology between homology and cohomology resemble dualities of interest in the real-world.  One example is a resemblance between Alexander Duality and pursuit-evasion games, where an evader tries to avoid detection by a time-evolving sensed space. Another example is a resemblance between Poincare Duality and flow-cut optimization, where the material flowing across a network is maximized or the cost of cutting a network is minimized.  We discuss how to refine dualities in algebraic topology to make these resemblances both formal and useful.  We then discuss how these dualities fit into an intrinsic algebraic topology for sheaves of semigroups over spaces equipped with direction.  CH240 Department of Mathematics math@osu.edu America/New_York public
Speaker:  Sanjeevi Krishnan
 
Title: Topological Dualities in Applied Mathematics
 
Abstract: Dualities of interest in algebraic topology between homology and cohomology resemble dualities of interest in the real-world.  One example is a resemblance between Alexander Duality and pursuit-evasion games, where an evader tries to avoid detection by a time-evolving sensed space. Another example is a resemblance between Poincare Duality and flow-cut optimization, where the material flowing across a network is maximized or the cost of cutting a network is minimized.  We discuss how to refine dualities in algebraic topology to make these resemblances both formal and useful.  We then discuss how these dualities fit into an intrinsic algebraic topology for sheaves of semigroups over spaces equipped with direction.