Dr. Sinead Keegan (DIAS)

will speak on

Coset models and Nahm's conjecture

Time: 3:00PM
Date: Wed 24th November 2010
Location: Mathematical Sciences Seminar Room [map]

Abstract: Nahm's conjecture deals with the question of when a certain
r-fold q-hypergeometric series $f_{A,B,C}$ is modular. In particular it
predicts which values of A may occur. In the case where A is chosen such
that $f_{A,B,C}$ is modular there is no known method for calculating
suitable values of B (without resorting to a computer search!). In this
talk we look at Nahm's conjecture from the point of view of conformal
field theory by considering coset models of the form
$\hat{su}(2)_k/\hat{u}(1)$. By calculating the characters of these cosets
and relating them to the functions $f_{A,B,C}$ it can be seen that the
B-values satisfy a nice pattern that is closely related to the matrix A.

(This talk is part of the K-Theory, Quadratic Forms and Number Theory series.)

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