Anything but Checkmate: The q-analogue of non-taking rook configurations in a given chessboard

Matthew Brown

Monday, April 12, 2004
1:00 pm, 845 Patterson Office Tower

Abstract:

We consider a q-analogue of the Frobenius formula relating the Stirling numbers of the second kind occurring in Eulerian polynomials (using a combinatorial interpretation) and then to ways of placing non-attacking rook pieces (the castle pieces from chess) onto a given Ferrers-shaped chessboard. These results are due to Garsia and Remmel.