Sporadic behaviour of quantum representations and rank-level duality

Abstract: The theory of conformal blocks provides us with projective representations of the mapping class group. These can equivalently also be constructed from the point of view of non-abelian theta functions, via the Hitchin connection. It has been known for some time that, for SL(2), these representations have infinite order, with the exception of some sporadic low levels. We will discuss how some of these sporadic cases can be understood via rank-level duality. This is joint work with Baier, Bolognesi and Pauly.

algebraic geometryalgebraic topologycomplex variablesdifferential geometrygeometric topologymetric geometryquantum algebrarepresentation theory

Audience: researchers in the topic

Sapienza A&G Seminar

Series comments: Weekly research seminar in algebra and geometry.

"Sapienza" Università di Roma, Department of Mathematics "Guido Castelnuovo".