Projective Planes and Hadamard Matrices
Speaker: Hadi Kharaghani
Date: Wed, Jan 24, 2024
Location: PIMS, University of Lethbridge, Zoom, Online
Conference: Lethbridge Number Theory and Combinatorics Seminar
Subject: Mathematics, Number Theory
Class: Scientific
Date: Wed, Jan 24, 2024
Location: PIMS, University of Lethbridge, Zoom, Online
Conference: Lethbridge Number Theory and Combinatorics Seminar
Subject: Mathematics, Number Theory
Class: Scientific
Abstract:
It is conjectured that there is no projective plane of order 12. Balanced splittable Hadamard matrices were introduced in 2018. In 2023, it was shown that a projective plane of order 12 is equivalent to a balanced multi-splittable Hadamard matrix of order 144. There will be an attempt to show the equivalence in a way that may require little background.
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