An AMS Talk with Dr. Thomas Riedel
EVENT SERIESEvent Instances
Event Details
AMS at UofL is having UofL Math Professor, Dr. Thomas Riedel, give a talk overviewing functional equations. Hot drinks and snacks will be available. Anyone who is interested is welcome to join! The event will be on Monday, November 16, from 10 - 11 a.m. in NS LL30. The abstract for the talk is below:
"This talk aims to give an introduction to functional equations and also show how to ask new questions and create new problems to solve. Functional equations have been used in mathematics since the mid 18th century arising around the same time as the definition of a function was introduced. The work on solving these equations gained momentum in the 19th century most notably with the work of Cauchy. The focus will be on functional equations of several variables such as Cauchy's Equation f(x+y)=f(x)+f(y), its generalization and several other equations arising from questions characterizing certain functions or properties. We will also look at the question of stability of an equation: if a function g “almost” satisfies a functional equation, does that mean there is a true solution that is “close” to g? This question was first asked by Ulam in 1940 and answered by Hyers in 1941 and has since been studied extensively. "