COSAM » Events » 2021 » November » DMS Graduate Student Seminar

DMS Graduate Student Seminar
Time: Nov 10, 2021 (03:00 PM)
Location: 236 Parker Hall

Speaker: Professor Pete Johnson
Title: Generalized Frobenius Problems: How One Variety of These Came to Exist

Abstract:  A typical Frobenius problem is of this form:  Given relatively prime positive integers a(1), ... ,a(n), find the largest integer which is not expressible as a linear combination of the a(i) with non-negative integer coefficients.  Such a largest integer exists by a 19th century theorem somewhat inaccurately attributed to Frobenius.  The talk will describe the development of a generalization of such problems, and of that theorem, to arbitrary commutative rings with unit, and to modules over such rings.

Last updated: 11/09/2021