Emma Hasson & Yolanda Zhu: Infinite Latin

Mathinar is back for the Spring Semester! To start us off, our very own Emma Hasson & Yolanda Zhu will present a talk about their summer research with Kaethe Minden on "Infinite Latin Squares." Latin squares are a classic Math puzzle with many variations, including Sudoku! Emma & Yolanda will talk about their work on Latin squares on infinite grids.

Much work has been done on Latin squares finite case, including the study of uniquely completable and critical subsets. A partial Latin Square is said to be uniquely completable if it only has one possible completion. A critical subset is a uniquely completable partial Latin Square with the property that if any one entry is removed, the partial Latin square is no longer uniquely completable. In this talk, we will introduce two main examples of infinite Latin squares- the integer square L_z and the set of Fractal squares- and the unique implications of their infinite structure. Our discussion will focus on critical sets which we have found on these squares and their properties, such as density and diversity. We will also discuss our further attempts to construct critical sets on these squares.

Please contact Tim Susse (tsusse@simons-rock.edu) with any questions or for options to attend the Mathinar virtually. 

Information on this, as well as past and future Mathinars, can be found on the seminar webpage.