March 6, 2015
4:30PM - 5:30PM
CH240
Add to Calendar
2015-03-06 17:30:00
2015-03-06 18:30:00
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
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
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.