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Topological Quantum Information

Denseness and Zariski Denseness of Jones Braid Representations

speaker: Greg Kuperberg (UC Davis and IF Grenoble)

abstract: One of the important results in topological quantum information is the theorem of Freedman, Larsen, and Wang that Jones braid representations are dense at non-lattice roots of unity. I will discuss a new proof of this result that does not use the classification of finite simple groups, together with related results away from roots of unity. A key idea is that the Zariski denseness is more tractable than analytic denseness, and yet can be used as the main tool to establish analytic denseness.

timetable:
Mon 16 May, 11:30 - 12:30, Aula Dini
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