Thursday, September 19, 2019

Thursday, September 19, 2019 — 1:00 PM EDT

TitleOrthogonal Polynomials and the Addition Formula

Speaker: Chris Godsil Affiliation: University of Waterloo Room: MC 5479

Abstract:

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.

Thursday, September 19, 2019 — 3:30 PM EDT

Title: When are two Schur functions the same?

Speaker: Nick Olson-Harris Affiliation: University of Waterloo Room: MC 5417

Abstract: 

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.

Thursday, September 19, 2019 — 4:00 PM EDT

Title: The sparsest matroids omitting an independent flat

Speaker: Peter Nelson Affiliation: University of Waterloo Room: MC 5501

Abstract:

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.

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