Knots, subfactors and quantum groups, at North Eastern University, Wednesday, September 30, 2015

Geometry, Physics and Representation theory seminar

Abstract: I will talk about the appearance of Jones polynomial from subfactors and quantum SU(2). For quantum SU(N), O(N) and Sp(2N),  the corresponding knot invariants and subfactors are known as HOMfLYPT, Kauffman polynomials and Jones-Wassermann, BMW subfactors respectively. I give a classification of next complicated subfactors and discover a new one parameter family. Infinitely many new subfactors and (unitary, pivotal, spherical) fusion categories, therefore three manifold invariants, are derived from this family. In...

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Parafermions, at Harvard, Tuesday, September 29, 2015

Mathematical Physics seminar

Tuesday at 2:15 p.m.

Science Center Room 530

Noncommutative uncertianty principles, at UCLA, Wednesday, December 10, 2014
Functional Analysis Seminar
Abstract. In this talk, I will introduce the uncertainty principle for subfactors, a joint work with Chunlan Jiang and Jinsong Wu. The uncertainty principle is a fundamental phenomenon related to a pair of objects dual to each other, such as the Heisenberg uncertainty principle for the position and momentum of a particle. Uncertainty principles of abelian...
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