Mathematics Colloquia and Seminars
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Generalised Rogers--Ramanujan identities and arithmeticsAlgebra & Discrete Mathematics
The Rogers-Ramanujan q-series play an important role in many areas of mathematics, such as combinatorics, number theory, statistical mechanics and representation theory. In this talk I will describe how methods from algebraic combinatorics, inspired by the theory of plane partitions, may be used to prove generalised Rogers-Ramanujan identities for affine Lie algebras. I will further discuss the arithmetic properties of these identities, resulting in extensions of the famous Rogers-Ramanujan continued fraction.
Slides for Warnaar's talk can be found at
note the not-usual day/time/room