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Lethbridge Number Theory and Combinatorics Seminar
Date:
February 4, 2019
Time:
12:00 - 12:50 p.m.
Lecturer(s):
Hadi Kharaghani (University of Lethbridge)
Location:
University of Lethbridge
Topic:
Two new classes of Hadamard matrices
Description:
A Hadamard matrix H of order 4n^2 is said to be "skew-regular" if it is of skew-type and the absolute values of the row sums are all 2n. It is conjectured that for each odd integer n there is a skew-regular matrix of order 4n^2.
A Hadamard matrix H of order m is said to be "balancedly splittable" if there is a k-by-m submatrix H' of H such that inner products for any two distinct column vectors of H' take at most two values. It is conjectured that only (Sylvester) Hadamard matrices of order a power of 4 are balancedly splittable.
The existence and applications of these two very interesting classes of matrices to Hadamard diagonalizable strongly regular graphs, maximal equiangular lines set, doubly regular tournament, and unbiased Hadamard matrices will be discussed in detail.
Other Information:
Location: D631 University Hall
Web page: http://www.cs.uleth.ca/~nathanng/ntcoseminar/
Contact:
Barb Hodgson | hodgsonb@uleth.ca | (403) 329-2470 | uleth.ca/artsci/math-computer-science