Event Type:

Number Theory Seminar

Date/Time:

Tuesday, October 22, 2019 - 16:00 to 16:50

Location:

STAG 112

Guest Speaker:

Institution:

University of Oregon

Abstract:

Finding integer solutions to norm form equations is a classic Diophantine problem. Using the units of the associated coefficient ring, we can produce sequences of solutions to these equations. It turns out that such a sequence can be written as a tuple of integer linear recurrence sequences, each with characteristic polynomial equal to the minimal polynomial of our unit. After an expository introduction to norm form equations and linear recurrence sequences, I will plan to discuss how one might use this observation to investigate when these sequences satisfy a certain divisibility property.

Host: