Alex Kasman from the College of Charleston will present a colloquium titled " Exceptional Orthogonal Polynomials, KP Wave Functions, and Calogero-Moser Matrices" as part of the Mathematics Department Colloquium Lecture Series. 

Abstract: Surprisingly, the generating functions of Exceptional Hermite Polynomials are wave functions of the KP Hierarchy.  Alternatively, this unexpected connection between orthogonal polynomials and soliton theory can be used to write the Exceptional Hermites in terms of the Lax matrices of an integrable particle system.  This talk will not only review these previously published results, it will also briefly address ongoing research into why they are true and to what extent they can be generalized.  (Joint work with Rob Milson, Maxim Derevyagin, Michael Gekhtman, and Luke Paluso.)

The Math Department is a part of K-State’s College of Arts and Sciences.  To learn more about opportunities in Math at K-State, visit the math department website.