Discrete Geometry: Jones-Wenzl Projectors - Amanda Curtis

Event Date: 

Wednesday, February 11, 2015 - 2:00pm to Thursday, February 11, 2016 - 3:00pm

Event Location: 

  • 4607B South Hall

Event Price: 


Event Contact: 

Michael Dougherty

Email: dougherty@math.ucsb.edu

  • Discrete Geometry Seminar

This is an expository talk based on the first half of the Temperley-Lieb-Jones Theories chapter of Zhenghan Wang's monograph "Topological Quantum Computation". In it, we will define the Temperley-Lieb algebra, become familiar with its properties as a diagrammatic algebra and ultimately define the Jones-Wenzl projectors (or idempotents). Understanding this algebra, and in particular, these projectors, is essential for topological quantum computation.