Lethbridge Number Theory and Combinatorics Seminar: Darcy Best

We will discuss several results related to transversals in Latin squares (think "Sudoku") and other Latin square-like objects. These results centre around showing the existence of, the number of, or the structure of transversals in different cases. Several patterns have been unearthed via computation that will also be discussed. These patterns are often related to the permanent of certain 0-1 matrices that can be used to count the number of transversals in Latin squares.