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### Generalised Rogers--Ramanujan identities and arithmetics

**Algebra & Discrete Mathematics**

Speaker: | Ole Warnaar, The University of Queensland |

Related Webpage: | http://www.maths.uq.edu.au/~uqowarna/ |

Location: | 3106 MSB |

Start time: | Fri, Jan 16 2015, 5:10PM |

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 http://www.maths.uq.edu.au/~uqowarna/talks.html

note the not-usual day/time/room