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Algebraic Graph Theory Seminar - Guillermo Nunez Ponasso
2022-10-24 11:30 (America/Toronto)
TITLE: Hadamard’s Maximal Determinant Problem and Generalisations

Speaker:
Guillermo Nunez Ponasso

Affiliation:
Worcester Polytechnic Institute

Location:
Please contact Sabrina Lato for Zoom link

ABSTRACT: Any matrix $M$ of order $n$ with entries taken from the
complex unit disk satisfies Hadamard’s determinantal inequality
$|\det M|\leq n^{n/2}$. Matrices meeting this bound with equality have
pairwise orthogonal rows and columns. Such matrices are known as
Hadamard matrices, and character tables of finite abelian groups give
examples at every order.
