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Operator Algebras: "A geometric approach to constructing conformal nets"

Dr. James Tener, UC Santa Barbara

Wednesday, May 10, 2017
  1:10–2 p.m.

Location: Surge Building 284
  Parking Information

Category: Seminar

Description: Conformal nets and vertex operator algebras are distinct mathematical axiomatizations of roughly the same physical idea: a two-dimensional chiral conformal field theory. In this talk I will present recent work in which local operators in conformal nets are realized as "boundary values" of vertex operators. This construction exhibits many operator algebraic features of conformal nets (e.g. subfactors, their Jones indices, and their fusion rules) in terms of the geometry of vertex operator algebras. If time permits, I will also discuss how this allows one to use Antony Wassermann's approach to calculating fusion rules in a broad class of examples.

Open to: General Public
Admission: Free
Sponsor: Mathematics

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