Date: Friday 13 April 2012, 4:30pm Location: Hempfield High School, Room 213 Speaker: Robert Ghrist, University of Pennsylvania Title: Topological Duality and Network Flows Abstract. Numerous problems in optimization theory, combinatorics, and network theory are related to the classical theorem known as Max-Flow-Min-Cut. This talk will recall this gem of a result and give a modern update using algebraic topology. The added sophistication in the proof will be seen to yield a vast increase in generality and applicability. Very little background will be assumed.