Top-level heading

Sporadic behaviour of quantum representations and rank-level duality

Categoria
Seminari di Algebra e Geometria
Data e ora inizio evento
Data e ora fine evento
Aula
Sala di Consiglio
Sede

Dipartimento di Matematica, Sapienza Università di Roma

Speaker

Johan Martens (University of Edinburgh)

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.