Title: Mutually unbiased basesSpeaker: Chris Godsil Affiliation: University of Waterloo Room: MC 5479
A pair of d x d unitary matrices is unbiased if M*N is at, i.e., all its entries have the same absolute value. A relatively simple argument shows that a set of pairwise unbiased unitary matrices has size at most d + 1.
Title: Fun with Pfaffians: Identities for Schur Q-FunctionsSpeaker: Angele Hamel Affiliation: Wilfrid Laurier University Room: MC 5417
Schur functions determinantal identities (e.g. Jacobi-Trudi, Giambelli) are cornerstones of symmetric function theory. Less well-known are the Pfaffian identities for Schur Q-functions.