Generalised Rogers--Ramanujan identities and arithmeticsAlgebra & Discrete Mathematics
|Speaker:||Ole Warnaar, The University of Queensland|
|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