# Getting Macdonald Polynomials into Shape: Prescribed Symmetry Macdonald Polynomials and Constant Term Identities

#### by Wendy Baratta

Institution: Mathematics and Statistics Department, The University of Melbourne
Date: Tue 30th March 2010
Time: 1:00 PM
Location: Room 203, Richard Berry Building, The University of Melbourne

Abstract: Macdonald polynomials with prescribed symmetry can be obtained from the nonsymmetric Macdonald polynomials via symmetrisation, antisymmetrisation and normalisation. By computing the explicit form of the normalisation with respect to the constant term inner product we provide a derivation of a special case of a conjectured q-constant term identity.