
School of Mathematics and Statistics
Gordon James
Imperial College London
Immanant problems, no solutions imminent.
Friday 11th September, 121pm, Carslaw 273.
One of the most intriguing open problems in matrix theory is the
Permanental Dominance Conjecture. This concerns a certain property of
Hermitian positive semidefinite matrices A, and it is unresolved
even if A is as small as 4by4.
We shall discuss this conjecture together with a similar conjecture about
totally positive matrices.
