Languages, Alphabets, and Group Theory

04/19/2016 - 12:15pm
04/19/2016 - 1:10pm
Gizem Karaali (Pomona College)

In 1993, the homophonic quotient groups for French and English (the quotient of the free group generated by the French (respectively English) alphabet determined by relations representing standard pronunciation rules) were explicitly characterized. We applied the same methodology to three different language systems: German, Korean, and Turkish. Our results point to some interesting differences between these three languages (or at least their current script systems). This is based on joint work with Herbert Gangl and Dorian Lee (PO'15). An overview of the algebraic theory of languages will be included. 

Millikan 2099, Pomona College