The algebra of linear PDE

Series
Algebra Student Seminar
Time
Friday, September 17, 2021 - 10:00am for 1 hour (actually 50 minutes)
Location
Skiles 005, or ONLINE
Speaker
Marc Härkönen – Georgia Tech – harkonen@gatech.eduhttps://people.math.gatech.edu/~mharkonen3/
Organizer
Marc Haerkoenen

Please Note: Online link: https://teams.microsoft.com/l/meetup-join/19%3a3a9d7f9d1fca4f5b991b4029b09c69a1%40thread.tacv2/1631746973297?context=%7b%22Tid%22%3a%22482198bb-ae7b-4b25-8b7a-6d7f32faa083%22%2c%22Oid%22%3a%2206706002-23ff-4989-8721-b078835bae91%22%7d

This talk is meant to be a gentle introduction to the algebraic theory of linear PDE with constant coefficients. We will present the connection between submodules of free modules of polynomial rings and solution sets of PDEs, and establish certain results relating analytical properties of solutions with algebraic properties of polynomial modules. We will also review classical spaces of functions in distribution theory and Fourier analysis.