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


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.

Additional Files: