Title: Orthogonal Polynomials and the Addition FormulaSpeaker: Chris Godsil Affiliation: University of Waterloo Room: MC 5479
Many questions about designs and codes in the unit sphere can be reduced to questions about members of a family of orthogonal polynomials, the so-called Gegenbauer polynomials.
Title: When are two Schur functions the same?Speaker: Nick Olson-Harris Affiliation: University of Waterloo Room: MC 5417
A pair of skew shapes are said to be (skew) equivalent if they admit the same number of semistandard tableaux of any weight; i.e. if their associated skew Schur functions are equal.
Title: The sparsest matroids omitting an independent flatSpeaker: Peter Nelson Affiliation: University of Waterloo Room: MC 5501
Given integers $k,r \ge 1$, what is the smallest a rank-$r$ matroid can be that does not contain a $k$-element independent set that is also a flat? I will answer this question, characterize the extremal examples, and draw parallels with a problem in graph theory.